Floquet theory for partial differential equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel u.a.
Birkhäuser
1993
|
| Schriftenreihe: | Operator theory
60 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 350 S. |
| ISBN: | 3764329017 0817629017 |
Internformat
MARC
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| 100 | 1 | |a Kuchment, Peter |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Floquet theory for partial differential equations |c Peter Kuchment |
| 264 | 1 | |a Basel u.a. |b Birkhäuser |c 1993 | |
| 300 | |a XIV, 350 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Operator theory |v 60 | |
| 650 | 7 | |a Equations aux dérivées partielles |2 ram | |
| 650 | 7 | |a Floquet, théorie de |2 ram | |
| 650 | 7 | |a Floquettheorie |2 gtt | |
| 650 | 7 | |a Operatortheorie |2 gtt | |
| 650 | 7 | |a Partiële differentiaalvergelijkingen |2 gtt | |
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 4 | |a Floquet theory | |
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| 689 | 0 | 1 | |a Floquet-Theorie |0 (DE-588)4317056-0 |D s |
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Datensatz im Suchindex
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|---|---|
| adam_text | TABLE OF CONTENTS
Introduction xi
CHAPTER 1. HOLOMORPHIC FREDHOLM OPERATOR FUNCTIONS 1
1.1. Lifting and open mapping theorems 1
1.2. Some classes of linear operators 5
1.3. Banach vector bundles 21
1.4. Fredholm operators that depend continuously on a parameter 28
1.5. Some information from complex analysis 32
A. Interpolation of entire functions of finite order 34
B. Some information from the complex analysis in several
variables 54
C. Some problems of infinite dimensional complex analysis 60
1.6. Fredholm operators that depend holomorphically on a parameter 66
1.7. Image and cokernel of a Fredholm morphism in spaces of
holomorphic sections 74
1.8. Image and cokernel of a Fredholm morphism in spaces of
holomorphic sections with bounds 76
1.9. Comments and references 86
CHAPTER 2. SPACES, OPERATORS AND TRANSFORMS 91
2.1. Basic spaces and operators 91
2.2. Fourier transform on the group of periods 93
2.3. Comments and references 102
viii
CHAPTER 3. FLOQUET THEORY FOR HYPOELLIPTIC EQUATIONS
AND SYSTEMS IN THE WHOLE SPACE 103
3.1. Floquet Bloch solutions. Quasimomentums and Floquet
exponents 103
3.2. Floquet expansion of solutions of exponential growth 110
3.3. Completeness of Floquet solutions in a class of solutions
of faster growth 112
3.4. Other classes of equations 115
A. Elliptic systems 115
B. Hypoelliptic equations and systems 116
C. Pseudodifferential equations 117
D. Smoothness of coefficients 118
3.5. Comments and references 121
CHAPTER 4. PROPERTIES OF SOLUTIONS OF PERIODIC EQUATIONS 125
4.1. Distribution of quasimomentums and decreasing solutions 125
4.2. Solvability of non homogeneous equations 147
4.3. Bloch property 150
4.4. Quasimomentum dispersion relation. Bloch variety 151
4.5. Some problems of spectral theory 158
4.6. Positive solutions 172
4.7 Comments and references 183
CHAPTER 5. EVOLUTION EQUATIONS 187
5.1. Abstract hypoelliptic evolution equations on the whole axis 187
ix
5.2. Some degenerate cases 209
5.3. Cauchy problem for abstract parabolic equations 224
5.4. Elliptic and parabolic boundary value problems in a cylinder 244
A. Elliptic problems 244
B. Parabolic problems 255
5.5. Comments and references 259
CHAPTER 6. OTHER CLASSES OF PROBLEMS 263
6.1. Equations with deviating arguments 263
6.2. Equations with coefficients that do not depend on some
arguments 268
6.3. Invariant differential equations on Riemannian symmetric
spaces of non compact type 283
6.4. Comments and references 297
Bibliography 303
Index of symbols 345
Index 349
|
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| discipline | Mathematik |
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| id | DE-604.BV007229738 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:58:04Z |
| institution | BVB |
| isbn | 3764329017 0817629017 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004631054 |
| oclc_num | 28147672 |
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| physical | XIV, 350 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Operator theory |
| series2 | Operator theory |
| spelling | Kuchment, Peter Verfasser aut Floquet theory for partial differential equations Peter Kuchment Basel u.a. Birkhäuser 1993 XIV, 350 S. txt rdacontent n rdamedia nc rdacarrier Operator theory 60 Equations aux dérivées partielles ram Floquet, théorie de ram Floquettheorie gtt Operatortheorie gtt Partiële differentiaalvergelijkingen gtt Differential equations, Partial Floquet theory Floquet-Theorie (DE-588)4317056-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Floquet-Theorie (DE-588)4317056-0 s DE-604 Operator theory 60 (DE-604)BV000000970 60 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004631054&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kuchment, Peter Floquet theory for partial differential equations Operator theory Equations aux dérivées partielles ram Floquet, théorie de ram Floquettheorie gtt Operatortheorie gtt Partiële differentiaalvergelijkingen gtt Differential equations, Partial Floquet theory Floquet-Theorie (DE-588)4317056-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4317056-0 (DE-588)4044779-0 |
| title | Floquet theory for partial differential equations |
| title_auth | Floquet theory for partial differential equations |
| title_exact_search | Floquet theory for partial differential equations |
| title_full | Floquet theory for partial differential equations Peter Kuchment |
| title_fullStr | Floquet theory for partial differential equations Peter Kuchment |
| title_full_unstemmed | Floquet theory for partial differential equations Peter Kuchment |
| title_short | Floquet theory for partial differential equations |
| title_sort | floquet theory for partial differential equations |
| topic | Equations aux dérivées partielles ram Floquet, théorie de ram Floquettheorie gtt Operatortheorie gtt Partiële differentiaalvergelijkingen gtt Differential equations, Partial Floquet theory Floquet-Theorie (DE-588)4317056-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Equations aux dérivées partielles Floquet, théorie de Floquettheorie Operatortheorie Partiële differentiaalvergelijkingen Differential equations, Partial Floquet theory Floquet-Theorie Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004631054&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000970 |
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