Analytic semigroups and semilinear initial boundary value problems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge u.a.
Cambridge Univ. Press
1995
|
| Edition: | 1. publ. |
| Series: | London Mathematical Society: London Mathematical Society lecture note series
223 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 164 S. graph. Darst. |
| ISBN: | 0521556031 |
Staff View
MARC
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| 100 | 1 | |a Taira, Kazuaki |d 1946- |e Verfasser |0 (DE-588)120483858 |4 aut | |
| 245 | 1 | 0 | |a Analytic semigroups and semilinear initial boundary value problems |c Kazuaki Taira |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge u.a. |b Cambridge Univ. Press |c 1995 | |
| 300 | |a X, 164 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a London Mathematical Society: London Mathematical Society lecture note series |v 223 | |
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| 650 | 0 | 7 | |a Anfangswertproblem |0 (DE-588)4001991-3 |2 gnd |9 rswk-swf |
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| 689 | 0 | |5 DE-604 | |
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| 689 | 1 | 1 | |a Analytische Halbgruppe |0 (DE-588)4376792-8 |D s |
| 689 | 1 | 2 | |a Elliptischer Differentialoperator |0 (DE-588)4140057-4 |D s |
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Record in the Search Index
| _version_ | 1804124925673340928 |
|---|---|
| adam_text | TABLE OF CONTENTS
Preface be
Introduction and Results 1
Chapter I. Theory of Analytic Semigroups 8
1.1 Generation Theorem for Analytic Semigroups 8
1.2 Fractional Powers 19
1.3 The Linear Cauchy Problem 31
1.4 The Semilinear Cauchy Problem 38
Chapter II. Sobolev Imbedding Theorems 46
2.1 Holder Spaces and Sobolev Spaces 46
2.2 Interpolation Theorems 48
2.3 Imbeddings of the Spaces Hm P(R ) 74
2.4 Imbeddings of the Spaces Hm P(n) 86
Chapter III. W Theory of Pseudo Differential Op¬
erators 93
3.1 Generalized Sobolev Spaces and Besov Spaces 93
3.2 Fourier Integral Operators 97
3.2A Symbol Classes 97
3.2B Phase Functions 99
3.2C Oscillatory Integrals 100
3.2D Fourier Integral Operators 102
3.3 Pseudo Differential Operators 102
Chapter IV. V Approach to Elliptic Boundary
Value Problems 109
4.1 The Dirichlet Problem 109
4.2 Formulation of a Boundary Value Problem 111
4.3 Reduction to the Boundary 115
4.4 Operator 77 120
Chapter V. Proof of Theorem 1 122
5.1 Regularity Theorem for Problem (*) 122
5.2 Uniqueness Theorem for Problem (*) 126
5.3 Existence Theorem for Problem (*) 127
5.3A Proof of Theorem 5.7 128
5.3B Proof of Proposition 5.10 134
Chapter VI. Proof of Theorem 2 137
Typeset by AmS T^X.
vi TABLE OF CONTENTS
6.1 A Priori Estimates 137
6.2 Generation of Analytic Semigroups 142
Chapter VII. Proof of Theorems 3 and 4 148
7.1 Fractional Powers and Imbedding Theorems 148
7.2 Semilinear Initial Boundary Value Problems 153
7.2A Proof of Theorem 3 153
7.2B Proof of Theorem 4 153
Appendix: The Maximum Principle 157
References 159
Index 161
|
| any_adam_object | 1 |
| author | Taira, Kazuaki 1946- |
| author_GND | (DE-588)120483858 |
| author_facet | Taira, Kazuaki 1946- |
| author_role | aut |
| author_sort | Taira, Kazuaki 1946- |
| author_variant | k t kt |
| building | Verbundindex |
| bvnumber | BV010492718 |
| classification_rvk | SI 320 SK 560 |
| ctrlnum | (OCoLC)613322620 (DE-599)BVBBV010492718 |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV010492718 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:53:25Z |
| institution | BVB |
| isbn | 0521556031 |
| language | English |
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| physical | X, 164 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | London Mathematical Society: London Mathematical Society lecture note series |
| series2 | London Mathematical Society: London Mathematical Society lecture note series |
| spelling | Taira, Kazuaki 1946- Verfasser (DE-588)120483858 aut Analytic semigroups and semilinear initial boundary value problems Kazuaki Taira 1. publ. Cambridge u.a. Cambridge Univ. Press 1995 X, 164 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society: London Mathematical Society lecture note series 223 Anfangsrandwertproblem (DE-588)4001990-1 gnd rswk-swf Elliptischer Differentialoperator (DE-588)4140057-4 gnd rswk-swf Anfangswertproblem (DE-588)4001991-3 gnd rswk-swf Analytische Halbgruppe (DE-588)4376792-8 gnd rswk-swf Analytische Halbgruppe (DE-588)4376792-8 s Anfangsrandwertproblem (DE-588)4001990-1 s DE-604 Anfangswertproblem (DE-588)4001991-3 s Elliptischer Differentialoperator (DE-588)4140057-4 s 1\p DE-604 London Mathematical Society: London Mathematical Society lecture note series 223 (DE-604)BV000000130 223 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006991705&sequence=000002&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 | Taira, Kazuaki 1946- Analytic semigroups and semilinear initial boundary value problems London Mathematical Society: London Mathematical Society lecture note series Anfangsrandwertproblem (DE-588)4001990-1 gnd Elliptischer Differentialoperator (DE-588)4140057-4 gnd Anfangswertproblem (DE-588)4001991-3 gnd Analytische Halbgruppe (DE-588)4376792-8 gnd |
| subject_GND | (DE-588)4001990-1 (DE-588)4140057-4 (DE-588)4001991-3 (DE-588)4376792-8 |
| title | Analytic semigroups and semilinear initial boundary value problems |
| title_auth | Analytic semigroups and semilinear initial boundary value problems |
| title_exact_search | Analytic semigroups and semilinear initial boundary value problems |
| title_full | Analytic semigroups and semilinear initial boundary value problems Kazuaki Taira |
| title_fullStr | Analytic semigroups and semilinear initial boundary value problems Kazuaki Taira |
| title_full_unstemmed | Analytic semigroups and semilinear initial boundary value problems Kazuaki Taira |
| title_short | Analytic semigroups and semilinear initial boundary value problems |
| title_sort | analytic semigroups and semilinear initial boundary value problems |
| topic | Anfangsrandwertproblem (DE-588)4001990-1 gnd Elliptischer Differentialoperator (DE-588)4140057-4 gnd Anfangswertproblem (DE-588)4001991-3 gnd Analytische Halbgruppe (DE-588)4376792-8 gnd |
| topic_facet | Anfangsrandwertproblem Elliptischer Differentialoperator Anfangswertproblem Analytische Halbgruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006991705&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000130 |
| work_keys_str_mv | AT tairakazuaki analyticsemigroupsandsemilinearinitialboundaryvalueproblems |