Lectures on nonlinear evolution equations: initial value problems
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Braunschweig [u.a.]
Vieweg
1992
|
| Series: | Aspects of mathematics
E ; 19 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 259 S. |
| ISBN: | 3528064218 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV004793942 | ||
| 003 | DE-604 | ||
| 005 | 20030829 | ||
| 007 | t | ||
| 008 | 920224s1992 gw |||| 00||| ger d | ||
| 020 | |a 3528064218 |9 3-528-06421-8 | ||
| 035 | |a (OCoLC)246690659 | ||
| 035 | |a (DE-599)BVBBV004793942 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a ger | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-384 |a DE-12 |a DE-739 |a DE-91G |a DE-29T |a DE-824 |a DE-19 |a DE-703 |a DE-355 |a DE-706 |a DE-634 |a DE-83 |a DE-11 |a DE-188 | ||
| 084 | |a SK 540 |0 (DE-625)143245: |2 rvk | ||
| 084 | |a 35K55 |2 msc | ||
| 084 | |a MAT 341f |2 stub | ||
| 084 | |a MAT 344f |2 stub | ||
| 084 | |a MAT 359f |2 stub | ||
| 100 | 1 | |a Racke, Reinhard |d 1958- |e Verfasser |0 (DE-588)110907140 |4 aut | |
| 245 | 1 | 0 | |a Lectures on nonlinear evolution equations |b initial value problems |c Reinhard Racke |
| 264 | 1 | |a Braunschweig [u.a.] |b Vieweg |c 1992 | |
| 300 | |a VIII, 259 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Aspects of mathematics : E |v 19 | |
| 650 | 0 | 7 | |a Globale Lösung |0 (DE-588)4264389-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Anfangswertproblem |0 (DE-588)4001991-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineare Evolutionsgleichung |0 (DE-588)4221363-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineare Gleichung |0 (DE-588)4455337-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wurzel |g Mathematik |0 (DE-588)4258245-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nichtlineare Evolutionsgleichung |0 (DE-588)4221363-0 |D s |
| 689 | 0 | 1 | |a Anfangswertproblem |0 (DE-588)4001991-3 |D s |
| 689 | 0 | 2 | |a Globale Lösung |0 (DE-588)4264389-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Nichtlineare Evolutionsgleichung |0 (DE-588)4221363-0 |D s |
| 689 | 1 | 1 | |a Anfangswertproblem |0 (DE-588)4001991-3 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Wurzel |g Mathematik |0 (DE-588)4258245-3 |D s |
| 689 | 2 | 1 | |a Nichtlineare Gleichung |0 (DE-588)4455337-7 |D s |
| 689 | 2 | 2 | |a Anfangswertproblem |0 (DE-588)4001991-3 |D s |
| 689 | 2 | |5 DE-604 | |
| 830 | 0 | |a Aspects of mathematics |v E ; 19 |w (DE-604)BV000018737 |9 19 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002949521&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002949521 | ||
Record in the Search Index
| _version_ | 1804118907610464256 |
|---|---|
| adam_text | Contents
Introduction 1
1 Global solutions to wave equations — existence theorems 7
2 Lp L decay estimates for the linear wave equation 15
3 Linear symmetric hyperbolic systems 21
3.1 Energy estimates 22
3.2 A global existence theorem 28
3.3 Remarks on other methods 32
4 Some inequalities 34
5 Local existence for quasilinear symmetric hyperbolic systems 58
6 High energy estimates 79
7 Weighted a priori estimates for small data 84
8 Global solutions to wave equations — proofs 91
8.1 Proof of Theorem 1.1 91
8.2 Proof of Theorem 1.2 96
9 Other methods 106
10 Development of singularities 110
11 More evolution equations 114
11.1 Equations of elasticity 116
11.1.1 Initially isotropic media in R3 116
11.1.2 Initially cubic media in R2 123
11.2 Heat equations 139
11.3 Equations of thermoelasticity 146
11.4 Schrodinger equations 181
11.5 Klein Gordon equations 186
11.6 Maxwell equations 196
11.7 Plate equations 201
12 Further aspects and questions 212
VIII
Appendix 226
A Interpolation 226
B The Theorem of Cauchy Kowalevsky 233
C A local existence theorem for hyperbolic parabolic systems 237
References 245
Notation 256
Index 258
|
| any_adam_object | 1 |
| author | Racke, Reinhard 1958- |
| author_GND | (DE-588)110907140 |
| author_facet | Racke, Reinhard 1958- |
| author_role | aut |
| author_sort | Racke, Reinhard 1958- |
| author_variant | r r rr |
| building | Verbundindex |
| bvnumber | BV004793942 |
| classification_rvk | SK 540 |
| classification_tum | MAT 341f MAT 344f MAT 359f |
| ctrlnum | (OCoLC)246690659 (DE-599)BVBBV004793942 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02319nam a2200553 cb4500</leader><controlfield tag="001">BV004793942</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20030829 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">920224s1992 gw |||| 00||| ger d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3528064218</subfield><subfield code="9">3-528-06421-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)246690659</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV004793942</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">ger</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</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">35K55</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 341f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 344f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 359f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Racke, Reinhard</subfield><subfield code="d">1958-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)110907140</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Lectures on nonlinear evolution equations</subfield><subfield code="b">initial value problems</subfield><subfield code="c">Reinhard Racke</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Braunschweig [u.a.]</subfield><subfield code="b">Vieweg</subfield><subfield code="c">1992</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 259 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">Aspects of mathematics : E</subfield><subfield code="v">19</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Globale Lösung</subfield><subfield code="0">(DE-588)4264389-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Anfangswertproblem</subfield><subfield code="0">(DE-588)4001991-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtlineare Evolutionsgleichung</subfield><subfield code="0">(DE-588)4221363-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtlineare Gleichung</subfield><subfield code="0">(DE-588)4455337-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wurzel</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4258245-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Nichtlineare Evolutionsgleichung</subfield><subfield code="0">(DE-588)4221363-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Anfangswertproblem</subfield><subfield code="0">(DE-588)4001991-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Globale Lösung</subfield><subfield code="0">(DE-588)4264389-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Nichtlineare Evolutionsgleichung</subfield><subfield code="0">(DE-588)4221363-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Anfangswertproblem</subfield><subfield code="0">(DE-588)4001991-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Wurzel</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4258245-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Nichtlineare Gleichung</subfield><subfield code="0">(DE-588)4455337-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="2"><subfield code="a">Anfangswertproblem</subfield><subfield code="0">(DE-588)4001991-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Aspects of mathematics</subfield><subfield code="v">E ; 19</subfield><subfield code="w">(DE-604)BV000018737</subfield><subfield code="9">19</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ 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=002949521&sequence=000002&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:BVB01-002949521</subfield></datafield></record></collection> |
| id | DE-604.BV004793942 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:17:45Z |
| institution | BVB |
| isbn | 3528064218 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002949521 |
| oclc_num | 246690659 |
| open_access_boolean | |
| owner | DE-384 DE-12 DE-739 DE-91G DE-BY-TUM DE-29T DE-824 DE-19 DE-BY-UBM DE-703 DE-355 DE-BY-UBR DE-706 DE-634 DE-83 DE-11 DE-188 |
| owner_facet | DE-384 DE-12 DE-739 DE-91G DE-BY-TUM DE-29T DE-824 DE-19 DE-BY-UBM DE-703 DE-355 DE-BY-UBR DE-706 DE-634 DE-83 DE-11 DE-188 |
| physical | VIII, 259 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Vieweg |
| record_format | marc |
| series | Aspects of mathematics |
| series2 | Aspects of mathematics : E |
| spelling | Racke, Reinhard 1958- Verfasser (DE-588)110907140 aut Lectures on nonlinear evolution equations initial value problems Reinhard Racke Braunschweig [u.a.] Vieweg 1992 VIII, 259 S. txt rdacontent n rdamedia nc rdacarrier Aspects of mathematics : E 19 Globale Lösung (DE-588)4264389-2 gnd rswk-swf Anfangswertproblem (DE-588)4001991-3 gnd rswk-swf Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd rswk-swf Nichtlineare Gleichung (DE-588)4455337-7 gnd rswk-swf Wurzel Mathematik (DE-588)4258245-3 gnd rswk-swf Nichtlineare Evolutionsgleichung (DE-588)4221363-0 s Anfangswertproblem (DE-588)4001991-3 s Globale Lösung (DE-588)4264389-2 s DE-604 Wurzel Mathematik (DE-588)4258245-3 s Nichtlineare Gleichung (DE-588)4455337-7 s Aspects of mathematics E ; 19 (DE-604)BV000018737 19 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002949521&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Racke, Reinhard 1958- Lectures on nonlinear evolution equations initial value problems Aspects of mathematics Globale Lösung (DE-588)4264389-2 gnd Anfangswertproblem (DE-588)4001991-3 gnd Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd Nichtlineare Gleichung (DE-588)4455337-7 gnd Wurzel Mathematik (DE-588)4258245-3 gnd |
| subject_GND | (DE-588)4264389-2 (DE-588)4001991-3 (DE-588)4221363-0 (DE-588)4455337-7 (DE-588)4258245-3 |
| title | Lectures on nonlinear evolution equations initial value problems |
| title_auth | Lectures on nonlinear evolution equations initial value problems |
| title_exact_search | Lectures on nonlinear evolution equations initial value problems |
| title_full | Lectures on nonlinear evolution equations initial value problems Reinhard Racke |
| title_fullStr | Lectures on nonlinear evolution equations initial value problems Reinhard Racke |
| title_full_unstemmed | Lectures on nonlinear evolution equations initial value problems Reinhard Racke |
| title_short | Lectures on nonlinear evolution equations |
| title_sort | lectures on nonlinear evolution equations initial value problems |
| title_sub | initial value problems |
| topic | Globale Lösung (DE-588)4264389-2 gnd Anfangswertproblem (DE-588)4001991-3 gnd Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd Nichtlineare Gleichung (DE-588)4455337-7 gnd Wurzel Mathematik (DE-588)4258245-3 gnd |
| topic_facet | Globale Lösung Anfangswertproblem Nichtlineare Evolutionsgleichung Nichtlineare Gleichung Wurzel Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002949521&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000018737 |
| work_keys_str_mv | AT rackereinhard lecturesonnonlinearevolutionequationsinitialvalueproblems |