The Q-method and regularity problems of some integral equations and PDE's:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
2001
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Jena, Univ., Diss., 2001 |
| Beschreibung: | II, 80, 4 S. graph. Darst. : 30 cm |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV014320652 | ||
| 003 | DE-604 | ||
| 005 | 20020924 | ||
| 007 | t | ||
| 008 | 020528s2001 gw d||| m||| 00||| eng d | ||
| 016 | 7 | |a 964245094 |2 DE-101 | |
| 035 | |a (OCoLC)51693116 | ||
| 035 | |a (DE-599)BVBBV014320652 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-703 | ||
| 100 | 1 | |a Dachkovski, Serguei |d 1974- |e Verfasser |0 (DE-588)123729483 |4 aut | |
| 245 | 1 | 0 | |a The Q-method and regularity problems of some integral equations and PDE's |c von Serguei Dachkovski |
| 264 | 1 | |c 2001 | |
| 300 | |a II, 80, 4 S. |b graph. Darst. : 30 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Jena, Univ., Diss., 2001 | ||
| 650 | 7 | |a Hochschulschrift |2 gtt | |
| 650 | 7 | |a Integralgleichung |2 gtt | |
| 650 | 7 | |a Nichtlineares Phänomen |2 gtt | |
| 650 | 7 | |a Regularität |2 gtt | |
| 650 | 7 | |a q-vollständiger Raum |2 gtt | |
| 650 | 0 | 7 | |a Integralgleichung |0 (DE-588)4027229-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Analytische Lösung |0 (DE-588)4313842-1 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Integralgleichung |0 (DE-588)4027229-1 |D s |
| 689 | 0 | 1 | |a Analytische Lösung |0 (DE-588)4313842-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
| 689 | 1 | 1 | |a Analytische Lösung |0 (DE-588)4313842-1 |D s |
| 689 | 1 | |5 DE-604 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009824456&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009824456 | |
Datensatz im Suchindex
| _version_ | 1812460586046324736 |
|---|---|
| adam_text |
CONTENTS
INTRODUCTION 1
1 APPLICATION OF THE Q-METHOD TO SOME SEMI-LINEAR ELLIPTIC AND
INTEGRAL EQUATIONS 5
1 DEFINITIONS, NOTATION AND KNOWN RESULTS. 5
1.1 SPACES. 6
1.2 TRUNCATION OPERATOR . 7
1.3 Q-OPERATOR. 11
2 SEMI-LINEAR ELLIPTIC EQUATIONS IN DOMAINS. 14
3 SEMI-LINEAR ELLIPTIC EQUATIONS IN R
N. 18
3.1 CONSTANT COEFFICIENTS. 18
3.2 VARIABLE COEFFICIENTS. 20
4 SEMI-LINEAR INTEGRAL EQUATIONS.21
5 ONE-DIMENSIONAL THEORY OF THE SEMI-LINEAR VISCO-ELASTICITY . 26
6 APPLICATION OF THE Q-METHOD IN THE THEORY OF SEMI-LINEAR VISCO
ELASTICITY .28
2 APPLICATION OF THE Q-METHOD TO EQUATIONS RELATED TO FRACTALS 33
1 REFINED VALIDITY.33
2 D-SETS AND TRACES .'.35
3 THE EQUATION.37
4 APPLICATION OF THE Q-METHOD.38
5 APPLICATION OF THE Q-METHOD TO THE HEAT EQUATION.42
5.1 INTRODUCTION.42
5.2 RELATED SPACES .44
5.3 REGULARITY THEOREM FOR A LINEAR EQUATION.44
5.4 ANISOTROPIC TRACES.45
5.5 RESULT.46
I
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/964245094
11
CONTENTS
3 ANISOTROPIC FUNCTION SPACES AND RELATED SEMI-LINEAR HYPOEL-
LIPTIC EQUATIONS 49
1 DEFINITIONS AND KNOWN RESULTS.49
1.1 ANISOTROPIC DISTANCE FUNCTION.49
1.2 ANISOTROPIC FUNCTION SPACES .50
1.3 SEQUENCE SPACES
BPQ
AND
F*Q
.52
1.4 ATOMIC AND QUARKONIAL DECOMPOSITIONS OF
FIIA
AND
BI
53
3 CHARACTERIZATIONS OF
FP'Q
. 57
4 CHARACTERIZATIONS OF
B^Q
. 59
4.1 GENERAL CHARACTERISATION.59
4.2 CHARACTERISATION OF
B^Q
BY DIFFERENCES .61
5 FUBINI PROPERTY.'. 64
6 TRUNCATION PROPERTY OF
B*F
.66
7 SEMI-LINEAR HYPOELLIPTIC EQUATION.72
8 REGULARITY OF SOLUTIONS. 74
BIBLIOGRAPHY 79
LIST OF SPECIAL SYMBOLS 82 |
| any_adam_object | 1 |
| author | Dachkovski, Serguei 1974- |
| author_GND | (DE-588)123729483 |
| author_facet | Dachkovski, Serguei 1974- |
| author_role | aut |
| author_sort | Dachkovski, Serguei 1974- |
| author_variant | s d sd |
| building | Verbundindex |
| bvnumber | BV014320652 |
| ctrlnum | (OCoLC)51693116 (DE-599)BVBBV014320652 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV014320652</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20020924</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">020528s2001 gw d||| m||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">964245094</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)51693116</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV014320652</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">eng</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-703</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Dachkovski, Serguei</subfield><subfield code="d">1974-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)123729483</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The Q-method and regularity problems of some integral equations and PDE's</subfield><subfield code="c">von Serguei Dachkovski</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">II, 80, 4 S.</subfield><subfield code="b">graph. Darst. : 30 cm</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="500" ind1=" " ind2=" "><subfield code="a">Jena, Univ., Diss., 2001</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Hochschulschrift</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Integralgleichung</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Nichtlineares Phänomen</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Regularität</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">q-vollständiger Raum</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Integralgleichung</subfield><subfield code="0">(DE-588)4027229-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Analytische Lösung</subfield><subfield code="0">(DE-588)4313842-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Integralgleichung</subfield><subfield code="0">(DE-588)4027229-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Analytische Lösung</subfield><subfield code="0">(DE-588)4313842-1</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">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Analytische Lösung</subfield><subfield code="0">(DE-588)4313842-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB 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=009824456&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009824456</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV014320652 |
| illustrated | Illustrated |
| indexdate | 2024-10-09T18:05:08Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009824456 |
| oclc_num | 51693116 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | II, 80, 4 S. graph. Darst. : 30 cm |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| record_format | marc |
| spelling | Dachkovski, Serguei 1974- Verfasser (DE-588)123729483 aut The Q-method and regularity problems of some integral equations and PDE's von Serguei Dachkovski 2001 II, 80, 4 S. graph. Darst. : 30 cm txt rdacontent n rdamedia nc rdacarrier Jena, Univ., Diss., 2001 Hochschulschrift gtt Integralgleichung gtt Nichtlineares Phänomen gtt Regularität gtt q-vollständiger Raum gtt Integralgleichung (DE-588)4027229-1 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Analytische Lösung (DE-588)4313842-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Integralgleichung (DE-588)4027229-1 s Analytische Lösung (DE-588)4313842-1 s DE-604 Partielle Differentialgleichung (DE-588)4044779-0 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009824456&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dachkovski, Serguei 1974- The Q-method and regularity problems of some integral equations and PDE's Hochschulschrift gtt Integralgleichung gtt Nichtlineares Phänomen gtt Regularität gtt q-vollständiger Raum gtt Integralgleichung (DE-588)4027229-1 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Analytische Lösung (DE-588)4313842-1 gnd |
| subject_GND | (DE-588)4027229-1 (DE-588)4044779-0 (DE-588)4313842-1 (DE-588)4113937-9 |
| title | The Q-method and regularity problems of some integral equations and PDE's |
| title_auth | The Q-method and regularity problems of some integral equations and PDE's |
| title_exact_search | The Q-method and regularity problems of some integral equations and PDE's |
| title_full | The Q-method and regularity problems of some integral equations and PDE's von Serguei Dachkovski |
| title_fullStr | The Q-method and regularity problems of some integral equations and PDE's von Serguei Dachkovski |
| title_full_unstemmed | The Q-method and regularity problems of some integral equations and PDE's von Serguei Dachkovski |
| title_short | The Q-method and regularity problems of some integral equations and PDE's |
| title_sort | the q method and regularity problems of some integral equations and pde s |
| topic | Hochschulschrift gtt Integralgleichung gtt Nichtlineares Phänomen gtt Regularität gtt q-vollständiger Raum gtt Integralgleichung (DE-588)4027229-1 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Analytische Lösung (DE-588)4313842-1 gnd |
| topic_facet | Hochschulschrift Integralgleichung Nichtlineares Phänomen Regularität q-vollständiger Raum Partielle Differentialgleichung Analytische Lösung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009824456&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT dachkovskiserguei theqmethodandregularityproblemsofsomeintegralequationsandpdes |