Fuchsian reduction: applications to geometry, cosmology and mathematical physics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
2007
|
| Schriftenreihe: | Progress in nonlinear differential equations and their applications
71 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 289 S. |
| ISBN: | 9780817643522 9780817646370 |
Internformat
MARC
| LEADER | 00000nam a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV022859704 | ||
| 003 | DE-604 | ||
| 005 | 20211207 | ||
| 007 | t | ||
| 008 | 071001s2007 xxu |||| 00||| eng d | ||
| 020 | |a 9780817643522 |9 978-0-8176-4352-2 | ||
| 020 | |a 9780817646370 |9 978-0-8176-4637-0 | ||
| 035 | |a (OCoLC)141385300 | ||
| 035 | |a (DE-599)GBV549301682 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-703 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA374 | |
| 082 | 0 | |a 516.36 |2 22 | |
| 084 | |a SK 540 |0 (DE-625)143245: |2 rvk | ||
| 084 | |a SK 950 |0 (DE-625)143273: |2 rvk | ||
| 100 | 1 | |a Kichenassamy, Satyanad |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Fuchsian reduction |b applications to geometry, cosmology and mathematical physics |c Satyanad Kichenassamy |
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 2007 | |
| 300 | |a XV, 289 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Progress in nonlinear differential equations and their applications |v 71 | |
| 650 | 4 | |a Cosmologie - Mathématiques | |
| 650 | 4 | |a Géométrie différentielle | |
| 650 | 4 | |a Physique mathématique | |
| 650 | 4 | |a Équations aux dérivées partielles | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Cosmology |x Mathematics | |
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 4 | |a Geometry, Differential | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 0 | 7 | |a Nichtlineares Differentialgleichungssystem |0 (DE-588)4229541-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Fuchs-Differentialgleichung |0 (DE-588)4155564-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a System von partiellen Differentialgleichungen |0 (DE-588)4116672-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ordnungsreduktion |0 (DE-588)4136085-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nichtlineares Differentialgleichungssystem |0 (DE-588)4229541-5 |D s |
| 689 | 0 | 1 | |a System von partiellen Differentialgleichungen |0 (DE-588)4116672-3 |D s |
| 689 | 0 | 2 | |a Ordnungsreduktion |0 (DE-588)4136085-0 |D s |
| 689 | 0 | 3 | |a Fuchs-Differentialgleichung |0 (DE-588)4155564-8 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 830 | 0 | |a Progress in nonlinear differential equations and their applications |v 71 |w (DE-604)BV007934389 |9 71 | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016064950&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-016064950 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804137112847515648 |
|---|---|
| adam_text | IMAGE 1
SATYANAD KICHENASSAMY
FUCHSIAN REDUCTION
APPLICATIONS TO GEOMETRY, COSMOLOGY, AND MATHEMATICAL PHYSICS
BIRKHAUSER BOSTON * BASEL * BERLIN
IMAGE 2
CONTENTS
PREFACE VII
1 INTRODUCTION 1
1.1 SINGULARITY LOCUS AS PARAMETER 1
1.2 THE MAIN STEPS OF REDUCTION 2
1.3 A FEW DEFINITIONS 4
1.4 AN ALGORITHM IN EIGHT STEPS 4
1.5 SIMPLE EXAMPLES OF REDUCED FUCHSIAN EQUATIONS 5
1.6 REDUCTION AND APPLICATIONS 13
PART I FUCHSIAN REDUCTION
2 FORMAL SERIES 23
2.1 THE OPERATOR D AND ITS FIRST PROPERTIES 24
2.2 THE SPACE AT AND ITS VARIANTS 27
2.3 FORMAL SERIES WITH VARIABLE EXPONENTS 35
2.4 RELATION OF AG TO THE INVARIANT THEORY OF BINARY FORMS 39 PROBLEMS
42
3 GENERAL REDUCTION METHODS 45
3.1 REDUCTION OF A SINGLE EQUATION 45
3.2 INTRODUCTION OF SEVERAL TIME VARIABLES AND SECOND REDUCTION . . 51
3.3 SEMILINEAR SYSTEMS 52
3.4 STRUCTURE OF THE FORMAL SERIES WITH SEVERAL TIME VARIABLES 54 3.5
RESONANCES, INSTABILITY, AND GROUP INVARIANCE 58
3.6 STABILITY AND PARAMETER DEPENDENCE 64
PROBLEMS 65
IMAGE 3
CONTENTS
PART II THEORY OF FUCHSIAN PARTIAL DIFFERENTIAL EQUATIONS
4 CONVERGENT SERIES SOLUTIONS OF FUCHSIAN INITIAL-VALUE PROBLEMS 69
4.1 THEORY OF LINEAR FUCHSIAN ODES 69
4.2 INITIAL-VALUE PROBLEM FOR FUCHSIAN PDES WITH ANALYTIC DATA .. 71 4.3
GENERALIZED FUCHSIAN SYSTEMS 75
4.4 NOTES 82
PROBLEMS 83
5 FUCHSIAN INITIAL-VALUE PROBLEMS IN SOBOLEV SPACES 85 5.1 SINGULAR
SYSTEMS OF ODES IN WEIGHTED SPACES 86
5.2 A GENERALIZED FUCHSIAN ODE 89
5.3 FUCHSIAN PDES: ABSTRACT RESULTS 90
5.4 OPTIMAL REGULARITY FOR FUCHSIAN PDES 97
5.5 REDUCTION TO A SYMMETRIC SYSTEM 101
PROBLEMS 104
6 SOLUTION OF FUCHSIAN ELLIPTIC BOUNDARY-VALUE PROBLEMS . . .. 105 6.1
BASIC IP RESULTS FOR EQUATIONS WITH DEGENERATE CHARACTERISTIC FORM 106
6.2 SCHAUDER REGULARITY FOR FUCHSIAN PROBLEMS 109
6.3 SOLUTION OF A MODEL FUCHSIAN OPERATOR 113
PROBLEMS 118
PART III APPLICATIONS
7 APPLICATIONS IN ASTRONOMY 121
7.1 NOTIONS ON STELLAR MODELING 121
7.2 POLYTROPIC MODEL 123
7.3 POINT-SOURCE MODEL 124
PROBLEMS 126
8 APPLICATIONS IN GENERAL RELATIVITY 129
8.1 THE BIG-BANG SINGULARITY AND AVD BEHAVIOR 129
8.2 GOWDY SPACE-TIMES 131
8.3 SPACE-TIMES WITH TWIST 137
PROBLEMS 142
9 APPLICATIONS IN DIFFERENTIAL GEOMETRY 143
9.1 FEFFERMAN-GRAHAM METRICS 143
9.2 FIRST FUCHSIAN REDUCTION AND CONSTRUCTION OF FORMAL SOLUTIONS 147
IMAGE 4
CONTENTS XV
9.3 SECOND FUCHSIAN REDUCTION AND CONVERGENCE OF FORMAL SOLUTIONS 149
9.4 PROPAGATION OF CONSTRAINT EQUATIONS 151
9.5 SPECIAL CASES 153
9.6 CONFORMAL CHANGES OF METRIC 154
9.7 LOEWNER-NIRENBERG METRICS 156
PROBLEMS 161
10 APPLICATIONS TO NONLINEAR WAVES 163
10.1 FROM BLOWUP TIME TO BLOWUP PATTERN 163
10.2 SEMILINEAR WAVE EQUATIONS 167
10.3 NONLINEAR OPTICS AND LASERS 181
10.4 WEAK DETONATIONS 198
10.5 SOLITON THEORY 202
10.6 THE LIOUVILLE EQUATION 209
10.7 NIRENBERG S EXAMPLE 213
PROBLEMS 214
11 BOUNDARY BLOWUP FOR NONLINEAR ELLIPTIC EQUATIONS 217 11.1 A
RENORMALIZED ENERGY FOR BOUNDARY BLOWUP 218
11.2 HARDY-TRUDINGER INEQUALITIES 219
11.3 VARIATIONAL CHARACTERIZATION OF SOLUTIONS WITH BOUNDARY BLOWUP 223
11.4 CONSTRUCTION OF THE PARTITION OF UNITY 225
PROBLEMS 227
PART IV BACKGROUND RESULTS
12 DISTANCE FUNCTION AND HOLDER SPACES 231
12.1 THE DISTANCE FUNCTION 231
12.2 HOLDER SPACES ON C 2+A DOMAINS 233
12.3 INTERIOR ESTIMATES FOR THE LAPLACIAN 239
12.4 PERTURBATION OF COEFFICIENTS 243
13 NASH-MOSER INVERSE FUNCTION THEOREM 247
13.1 NASH-MOSER THEOREM WITHOUT SMOOTHING 247
13.2 NASH-MOSER THEOREM WITH SMOOTHING 249
SOLUTIONS 253
REFERENCES 277
INDEX 287
|
| adam_txt |
IMAGE 1
SATYANAD KICHENASSAMY
FUCHSIAN REDUCTION
APPLICATIONS TO GEOMETRY, COSMOLOGY, AND MATHEMATICAL PHYSICS
BIRKHAUSER BOSTON * BASEL * BERLIN
IMAGE 2
CONTENTS
PREFACE VII
1 INTRODUCTION 1
1.1 SINGULARITY LOCUS AS PARAMETER 1
1.2 THE MAIN STEPS OF REDUCTION 2
1.3 A FEW DEFINITIONS 4
1.4 AN ALGORITHM IN EIGHT STEPS 4
1.5 SIMPLE EXAMPLES OF REDUCED FUCHSIAN EQUATIONS 5
1.6 REDUCTION AND APPLICATIONS 13
PART I FUCHSIAN REDUCTION
2 FORMAL SERIES 23
2.1 THE OPERATOR D AND ITS FIRST PROPERTIES 24
2.2 THE SPACE AT AND ITS VARIANTS 27
2.3 FORMAL SERIES WITH VARIABLE EXPONENTS 35
2.4 RELATION OF AG TO THE INVARIANT THEORY OF BINARY FORMS 39 PROBLEMS
42
3 GENERAL REDUCTION METHODS 45
3.1 REDUCTION OF A SINGLE EQUATION 45
3.2 INTRODUCTION OF SEVERAL TIME VARIABLES AND SECOND REDUCTION . . 51
3.3 SEMILINEAR SYSTEMS 52
3.4 STRUCTURE OF THE FORMAL SERIES WITH SEVERAL TIME VARIABLES 54 3.5
RESONANCES, INSTABILITY, AND GROUP INVARIANCE 58
3.6 STABILITY AND PARAMETER DEPENDENCE 64
PROBLEMS 65
IMAGE 3
CONTENTS
PART II THEORY OF FUCHSIAN PARTIAL DIFFERENTIAL EQUATIONS
4 CONVERGENT SERIES SOLUTIONS OF FUCHSIAN INITIAL-VALUE PROBLEMS 69
4.1 THEORY OF LINEAR FUCHSIAN ODES 69
4.2 INITIAL-VALUE PROBLEM FOR FUCHSIAN PDES WITH ANALYTIC DATA . 71 4.3
GENERALIZED FUCHSIAN SYSTEMS 75
4.4 NOTES 82
PROBLEMS 83
5 FUCHSIAN INITIAL-VALUE PROBLEMS IN SOBOLEV SPACES 85 5.1 SINGULAR
SYSTEMS OF ODES IN WEIGHTED SPACES 86
5.2 A GENERALIZED FUCHSIAN ODE 89
5.3 FUCHSIAN PDES: ABSTRACT RESULTS 90
5.4 OPTIMAL REGULARITY FOR FUCHSIAN PDES 97
5.5 REDUCTION TO A SYMMETRIC SYSTEM 101
PROBLEMS 104
6 SOLUTION OF FUCHSIAN ELLIPTIC BOUNDARY-VALUE PROBLEMS . . . 105 6.1
BASIC IP RESULTS FOR EQUATIONS WITH DEGENERATE CHARACTERISTIC FORM 106
6.2 SCHAUDER REGULARITY FOR FUCHSIAN PROBLEMS 109
6.3 SOLUTION OF A MODEL FUCHSIAN OPERATOR 113
PROBLEMS 118
PART III APPLICATIONS
7 APPLICATIONS IN ASTRONOMY 121
7.1 NOTIONS ON STELLAR MODELING 121
7.2 POLYTROPIC MODEL 123
7.3 POINT-SOURCE MODEL 124
PROBLEMS 126
8 APPLICATIONS IN GENERAL RELATIVITY 129
8.1 THE BIG-BANG SINGULARITY AND AVD BEHAVIOR 129
8.2 GOWDY SPACE-TIMES 131
8.3 SPACE-TIMES WITH TWIST 137
PROBLEMS 142
9 APPLICATIONS IN DIFFERENTIAL GEOMETRY 143
9.1 FEFFERMAN-GRAHAM METRICS 143
9.2 FIRST FUCHSIAN REDUCTION AND CONSTRUCTION OF FORMAL SOLUTIONS 147
IMAGE 4
CONTENTS XV
9.3 SECOND FUCHSIAN REDUCTION AND CONVERGENCE OF FORMAL SOLUTIONS 149
9.4 PROPAGATION OF CONSTRAINT EQUATIONS 151
9.5 SPECIAL CASES 153
9.6 CONFORMAL CHANGES OF METRIC 154
9.7 LOEWNER-NIRENBERG METRICS 156
PROBLEMS 161
10 APPLICATIONS TO NONLINEAR WAVES 163
10.1 FROM BLOWUP TIME TO BLOWUP PATTERN 163
10.2 SEMILINEAR WAVE EQUATIONS 167
10.3 NONLINEAR OPTICS AND LASERS 181
10.4 WEAK DETONATIONS 198
10.5 SOLITON THEORY 202
10.6 THE LIOUVILLE EQUATION 209
10.7 NIRENBERG'S EXAMPLE 213
PROBLEMS 214
11 BOUNDARY BLOWUP FOR NONLINEAR ELLIPTIC EQUATIONS 217 11.1 A
RENORMALIZED ENERGY FOR BOUNDARY BLOWUP 218
11.2 HARDY-TRUDINGER INEQUALITIES 219
11.3 VARIATIONAL CHARACTERIZATION OF SOLUTIONS WITH BOUNDARY BLOWUP 223
11.4 CONSTRUCTION OF THE PARTITION OF UNITY 225
PROBLEMS 227
PART IV BACKGROUND RESULTS
12 DISTANCE FUNCTION AND HOLDER SPACES 231
12.1 THE DISTANCE FUNCTION 231
12.2 HOLDER SPACES ON C 2+A DOMAINS 233
12.3 INTERIOR ESTIMATES FOR THE LAPLACIAN 239
12.4 PERTURBATION OF COEFFICIENTS 243
13 NASH-MOSER INVERSE FUNCTION THEOREM 247
13.1 NASH-MOSER THEOREM WITHOUT SMOOTHING 247
' 13.2 NASH-MOSER THEOREM WITH SMOOTHING 249
SOLUTIONS 253
REFERENCES 277
INDEX 287 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Kichenassamy, Satyanad |
| author_facet | Kichenassamy, Satyanad |
| author_role | aut |
| author_sort | Kichenassamy, Satyanad |
| author_variant | s k sk |
| building | Verbundindex |
| bvnumber | BV022859704 |
| callnumber-first | Q - Science |
| callnumber-label | QA374 |
| callnumber-raw | QA374 |
| callnumber-search | QA374 |
| callnumber-sort | QA 3374 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 540 SK 950 |
| ctrlnum | (OCoLC)141385300 (DE-599)GBV549301682 |
| dewey-full | 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.36 |
| dewey-search | 516.36 |
| dewey-sort | 3516.36 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02572nam a2200601zcb4500</leader><controlfield tag="001">BV022859704</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20211207 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">071001s2007 xxu |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780817643522</subfield><subfield code="9">978-0-8176-4352-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780817646370</subfield><subfield code="9">978-0-8176-4637-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)141385300</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBV549301682</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA374</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.36</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 540</subfield><subfield code="0">(DE-625)143245:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 950</subfield><subfield code="0">(DE-625)143273:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kichenassamy, Satyanad</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Fuchsian reduction</subfield><subfield code="b">applications to geometry, cosmology and mathematical physics</subfield><subfield code="c">Satyanad Kichenassamy</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston [u.a.]</subfield><subfield code="b">Birkhäuser</subfield><subfield code="c">2007</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XV, 289 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Progress in nonlinear differential equations and their applications</subfield><subfield code="v">71</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Cosmologie - Mathématiques</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Géométrie différentielle</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Physique mathématique</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Équations aux dérivées partielles</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematische Physik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Cosmology</subfield><subfield code="x">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations, Partial</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometry, Differential</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical physics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtlineares Differentialgleichungssystem</subfield><subfield code="0">(DE-588)4229541-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Fuchs-Differentialgleichung</subfield><subfield code="0">(DE-588)4155564-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">System von partiellen Differentialgleichungen</subfield><subfield code="0">(DE-588)4116672-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Ordnungsreduktion</subfield><subfield code="0">(DE-588)4136085-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Nichtlineares Differentialgleichungssystem</subfield><subfield code="0">(DE-588)4229541-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">System von partiellen Differentialgleichungen</subfield><subfield code="0">(DE-588)4116672-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Ordnungsreduktion</subfield><subfield code="0">(DE-588)4136085-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Fuchs-Differentialgleichung</subfield><subfield code="0">(DE-588)4155564-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Progress in nonlinear differential equations and their applications</subfield><subfield code="v">71</subfield><subfield code="w">(DE-604)BV007934389</subfield><subfield code="9">71</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016064950&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-016064950</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV022859704 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T18:43:11Z |
| indexdate | 2024-07-09T21:07:07Z |
| institution | BVB |
| isbn | 9780817643522 9780817646370 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016064950 |
| oclc_num | 141385300 |
| open_access_boolean | |
| owner | DE-703 DE-11 DE-188 |
| owner_facet | DE-703 DE-11 DE-188 |
| physical | XV, 289 S. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in nonlinear differential equations and their applications |
| series2 | Progress in nonlinear differential equations and their applications |
| spelling | Kichenassamy, Satyanad Verfasser aut Fuchsian reduction applications to geometry, cosmology and mathematical physics Satyanad Kichenassamy Boston [u.a.] Birkhäuser 2007 XV, 289 S. txt rdacontent n rdamedia nc rdacarrier Progress in nonlinear differential equations and their applications 71 Cosmologie - Mathématiques Géométrie différentielle Physique mathématique Équations aux dérivées partielles Mathematik Mathematische Physik Cosmology Mathematics Differential equations, Partial Geometry, Differential Mathematical physics Nichtlineares Differentialgleichungssystem (DE-588)4229541-5 gnd rswk-swf Fuchs-Differentialgleichung (DE-588)4155564-8 gnd rswk-swf System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd rswk-swf Ordnungsreduktion (DE-588)4136085-0 gnd rswk-swf Nichtlineares Differentialgleichungssystem (DE-588)4229541-5 s System von partiellen Differentialgleichungen (DE-588)4116672-3 s Ordnungsreduktion (DE-588)4136085-0 s Fuchs-Differentialgleichung (DE-588)4155564-8 s 1\p DE-604 Progress in nonlinear differential equations and their applications 71 (DE-604)BV007934389 71 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016064950&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kichenassamy, Satyanad Fuchsian reduction applications to geometry, cosmology and mathematical physics Progress in nonlinear differential equations and their applications Cosmologie - Mathématiques Géométrie différentielle Physique mathématique Équations aux dérivées partielles Mathematik Mathematische Physik Cosmology Mathematics Differential equations, Partial Geometry, Differential Mathematical physics Nichtlineares Differentialgleichungssystem (DE-588)4229541-5 gnd Fuchs-Differentialgleichung (DE-588)4155564-8 gnd System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd Ordnungsreduktion (DE-588)4136085-0 gnd |
| subject_GND | (DE-588)4229541-5 (DE-588)4155564-8 (DE-588)4116672-3 (DE-588)4136085-0 |
| title | Fuchsian reduction applications to geometry, cosmology and mathematical physics |
| title_auth | Fuchsian reduction applications to geometry, cosmology and mathematical physics |
| title_exact_search | Fuchsian reduction applications to geometry, cosmology and mathematical physics |
| title_exact_search_txtP | Fuchsian reduction applications to geometry, cosmology and mathematical physics |
| title_full | Fuchsian reduction applications to geometry, cosmology and mathematical physics Satyanad Kichenassamy |
| title_fullStr | Fuchsian reduction applications to geometry, cosmology and mathematical physics Satyanad Kichenassamy |
| title_full_unstemmed | Fuchsian reduction applications to geometry, cosmology and mathematical physics Satyanad Kichenassamy |
| title_short | Fuchsian reduction |
| title_sort | fuchsian reduction applications to geometry cosmology and mathematical physics |
| title_sub | applications to geometry, cosmology and mathematical physics |
| topic | Cosmologie - Mathématiques Géométrie différentielle Physique mathématique Équations aux dérivées partielles Mathematik Mathematische Physik Cosmology Mathematics Differential equations, Partial Geometry, Differential Mathematical physics Nichtlineares Differentialgleichungssystem (DE-588)4229541-5 gnd Fuchs-Differentialgleichung (DE-588)4155564-8 gnd System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd Ordnungsreduktion (DE-588)4136085-0 gnd |
| topic_facet | Cosmologie - Mathématiques Géométrie différentielle Physique mathématique Équations aux dérivées partielles Mathematik Mathematische Physik Cosmology Mathematics Differential equations, Partial Geometry, Differential Mathematical physics Nichtlineares Differentialgleichungssystem Fuchs-Differentialgleichung System von partiellen Differentialgleichungen Ordnungsreduktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016064950&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV007934389 |
| work_keys_str_mv | AT kichenassamysatyanad fuchsianreductionapplicationstogeometrycosmologyandmathematicalphysics |