Ill-posed problems for integrodifferential equations in mechanics and electromagnetic theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Philadelphia
SIAM
1981
|
| Series: | SIAM studies in applied mathematics
3 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 222 S. |
| ISBN: | 0898711711 9780898711714 |
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MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
Acknowledgment ix
Introduction 1
Chapter I: Ill Posed Initial Boundary Value Problems in Mathemati¬
cal Physics: Examples of the Basic Logarithmic Convexity
and Concavity Arguments for PDE 5
1. Stability and uniqueness theorems in linear elasticity: a first
example of logarithmic convexity 6
2. Continuous data dependence for an abstract equation in Hilbert
space: applications to linear elastodynamics 11
3. A nonexistence theorem for the heat equation with nonlinear
boundary data: an application of the basic concavity argument . 20
Chapter II: Ill Posed Problems for the Partial Integrodifferential
Equations of Linear and Nonlinear Viscoelasticity ... 29
1. Equations of motion and restrictions on relaxation functions:
isothermal linear viscoelasticity 29
2. Structure of the initial history value problem in Hilbert space:
basic results on existence, uniqueness, stability, and asymptotic
stability 32
3. Growth estimates for ill posed initial history boundary value
problems in linear viscoelasticity 42
4. Continuous data dependence for ill posed initial history boun¬
dary value problems in linear viscoelasticity 63
5. Growth estimates for solutions of initial history boundary value
problems in one dimensional nonlinear viscoelasticity 74
Chapter III: Ill Posed Problems for Some Partial Integrodifferential
Equations of Electromagnetic Theory 101
1. Integrodifferential evolution equations for theories of noncon¬
ducting material dielectrics 101
2. Stability and growth estimates for Maxwell Hopkinson dielec¬
trics: logarithmic convexity arguments 109
3. Stability and growth estimates for holohedral isotropic dielectrics:
logarithmic convexity arguments 121
vii
viii CONTENTS
4. Growth estimates for nonconducting material dielectrics with
memory: concavity arguments 132
5. Asymptotic estimates for electric displacement fields in material
dielectrics 145
Chapter IV: Some Recent Directions in Research on Nonlinear
Integrodifferential Equations 155
1. Convexity arguments and growth estimates for solutions to a class
of nonlinear integrodifferential equations 156
2. Instability of solutions to initial history boundary value problems
for nonlinear viscoelastic fluids 164
3. Global existence of solutions for nonlinear viscoelastic initial
history value problems: Riemann invariant arguments 174
4. Remarks on recent research on first order nonlinear integro
difFerential equations 183
Bibliography 207
Index 214
|
| any_adam_object | 1 |
| author | Bloom, Frederick 1944- |
| author_GND | (DE-588)172005825 |
| author_facet | Bloom, Frederick 1944- |
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| classification_rvk | SK 540 SK 640 |
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| ctrlnum | (OCoLC)265804318 (DE-599)BVBBV003421273 |
| discipline | Mathematik |
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| id | DE-604.BV003421273 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:59:40Z |
| institution | BVB |
| isbn | 0898711711 9780898711714 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002164624 |
| oclc_num | 265804318 |
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| owner_facet | DE-384 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-188 |
| physical | IX, 222 S. |
| publishDate | 1981 |
| publishDateSearch | 1981 |
| publishDateSort | 1981 |
| publisher | SIAM |
| record_format | marc |
| series | SIAM studies in applied mathematics |
| series2 | SIAM studies in applied mathematics |
| spelling | Bloom, Frederick 1944- Verfasser (DE-588)172005825 aut Ill-posed problems for integrodifferential equations in mechanics and electromagnetic theory Frederick Bloom Philadelphia SIAM 1981 IX, 222 S. txt rdacontent n rdamedia nc rdacarrier SIAM studies in applied mathematics 3 Integrodifferentialgleichung (DE-588)4161939-0 gnd rswk-swf Integrodifferentialgleichung (DE-588)4161939-0 s DE-604 SIAM studies in applied mathematics 3 (DE-604)BV001889480 3 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002164624&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bloom, Frederick 1944- Ill-posed problems for integrodifferential equations in mechanics and electromagnetic theory SIAM studies in applied mathematics Integrodifferentialgleichung (DE-588)4161939-0 gnd |
| subject_GND | (DE-588)4161939-0 |
| title | Ill-posed problems for integrodifferential equations in mechanics and electromagnetic theory |
| title_auth | Ill-posed problems for integrodifferential equations in mechanics and electromagnetic theory |
| title_exact_search | Ill-posed problems for integrodifferential equations in mechanics and electromagnetic theory |
| title_full | Ill-posed problems for integrodifferential equations in mechanics and electromagnetic theory Frederick Bloom |
| title_fullStr | Ill-posed problems for integrodifferential equations in mechanics and electromagnetic theory Frederick Bloom |
| title_full_unstemmed | Ill-posed problems for integrodifferential equations in mechanics and electromagnetic theory Frederick Bloom |
| title_short | Ill-posed problems for integrodifferential equations in mechanics and electromagnetic theory |
| title_sort | ill posed problems for integrodifferential equations in mechanics and electromagnetic theory |
| topic | Integrodifferentialgleichung (DE-588)4161939-0 gnd |
| topic_facet | Integrodifferentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002164624&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001889480 |
| work_keys_str_mv | AT bloomfrederick illposedproblemsforintegrodifferentialequationsinmechanicsandelectromagnetictheory |