Global solutions to initial value problems in nonlinear hyperbolic thermoelasticity:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Warszawa
Polska Akad. Nauk, Inst. Matematyczny
1995
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| Series: | Dissertationes mathematicae
344 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 61, III S. |
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Record in the Search Index
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SUB AATTLNGEN 7 POLSKA AKADEM 204499429 [ATEMATYCZNY 96 A15108 D I S S E
R T A T I O N E S M A T H E M A T I C A E (ROZPRAWY MATEMATYCZNE)
KOMITET REDAKCYJNY BOGDAN BOJARSKI REDAKTOR WIESLAW ZELAZKO ZASTCA
REDAKTORA ANDRZEJ BIALYNICKI-BIRULA, ZBIGNIEW CIESIELSKI, JERZY LOS,
ZBIGNIEW SEMADENI CCCXLIV JERZY AUGUST GAWINECKI GLOBAL SOLUTIONS TO
INITIAL VALUE PROBLEMS IN NONLINEAR HYPERBOLIC THERMOELASTICITY WARSZAWA
1995 CONTENTS 1. INTRODUCTION 5 1.1. MAIN THEOREM 1.1 8 1.2. MAIN
THEOREM 1.2 9 2. RADON TRANSFORM 10 2.1. DEFINITION OF THE RADON
TRANSFORM 10 2.2. BASIC NOTATIONS AND FORMULAE 16 3. LP-L* 7 TIME DECAY
ESTIMATES FOR THE CAUCHY PROBLEM 18 3.1. MATRIX OF FUNDAMENTAL SOLUTIONS
FOR LINEAR HYPERBOLIC THERMOELASTICITY 18 3.2. L P -L 9 TIME DECAY
ESTIMATES FOR LINEAR HYPERBOLIC THERMOELASTICITY 25 3.3. FUNDAMENTAL
SOLUTION TO THE LINEAR HYPERBOLIC HEAT EQUATION 31 3.4. L P -L 9 TIME
DECAY ESTIMATES FOR THE LINEAR HYPERBOLIC HEAT EQUATION 35 4. LOCAL
EXISTENCE OF SOLUTIONS 39 4.1. LOCAL EXISTENCE OF SOLUTIONS TO THE
INITIAL VALUE PROBLEM FOR NONLINEAR HYPERBOLIC THERMOELASTICITY 39 4.2.
LOCAL EXISTENCE OF SOLUTIONS TO'THE INITIAL VALUE PROBLEM FOR THE
NONLINEAR HYPERBOLIC HEAT EQUATION 41 5. HIGH ENERGY ESTIMATES 42 5.1.
HIGH ENERGY ESTIMATES FOR THE NONLINEAR HYPERBOLIC THERMOELASTICITY 42
5.2. HIGH ENERGY ESTIMATES FOR THE NONLINEAR HYPERBOLIC HEAT EQUATION 45
6. GLOBAL SOLUTIONS IN NONLINEAR HYPERBOLIC THERMOELASTICITY THEORY 46
6.1. PROOF OF MAIN THEOREM 1.1 46 6.2. PROOF OF MAIN THEOREM 1.2 50 7.
GENERAL REMARKS 52 REFERENCES .* 54 1991 MATHEMATICS SUBJECT
CLASSIFICATION: 35A07, 35A08, 35L15, 35L45, 35L60, 35L70, 35B40, 35B45.
RECEIVED 23.3.1994; REVISED VERSION 21.12.1994. THIS RESEARCH WAS
SUPPORTED BY THE POLISH KBN GRANT NO 211659101 DURING THE YEARS 1991-94. |
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| indexdate | 2025-02-24T11:02:41Z |
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| language | English |
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| physical | 61, III S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Polska Akad. Nauk, Inst. Matematyczny |
| record_format | marc |
| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Gawinecki, Jerzy August Verfasser aut Global solutions to initial value problems in nonlinear hyperbolic thermoelasticity Jerzy August Gawinecki Warszawa Polska Akad. Nauk, Inst. Matematyczny 1995 61, III S. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 344 Mathematik Differential equations, Hyperbolic Initial value problems Numerical solutions Thermoelasticity Mathematics Nichtlineare hyperbolische Differentialgleichung (DE-588)4228136-2 gnd rswk-swf Thermoelastizität (DE-588)4185143-2 gnd rswk-swf Thermoelastizität (DE-588)4185143-2 s Nichtlineare hyperbolische Differentialgleichung (DE-588)4228136-2 s DE-604 Dissertationes mathematicae 344 (DE-604)BV000003039 344 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007068312&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gawinecki, Jerzy August Global solutions to initial value problems in nonlinear hyperbolic thermoelasticity Dissertationes mathematicae Mathematik Differential equations, Hyperbolic Initial value problems Numerical solutions Thermoelasticity Mathematics Nichtlineare hyperbolische Differentialgleichung (DE-588)4228136-2 gnd Thermoelastizität (DE-588)4185143-2 gnd |
| subject_GND | (DE-588)4228136-2 (DE-588)4185143-2 |
| title | Global solutions to initial value problems in nonlinear hyperbolic thermoelasticity |
| title_auth | Global solutions to initial value problems in nonlinear hyperbolic thermoelasticity |
| title_exact_search | Global solutions to initial value problems in nonlinear hyperbolic thermoelasticity |
| title_full | Global solutions to initial value problems in nonlinear hyperbolic thermoelasticity Jerzy August Gawinecki |
| title_fullStr | Global solutions to initial value problems in nonlinear hyperbolic thermoelasticity Jerzy August Gawinecki |
| title_full_unstemmed | Global solutions to initial value problems in nonlinear hyperbolic thermoelasticity Jerzy August Gawinecki |
| title_short | Global solutions to initial value problems in nonlinear hyperbolic thermoelasticity |
| title_sort | global solutions to initial value problems in nonlinear hyperbolic thermoelasticity |
| topic | Mathematik Differential equations, Hyperbolic Initial value problems Numerical solutions Thermoelasticity Mathematics Nichtlineare hyperbolische Differentialgleichung (DE-588)4228136-2 gnd Thermoelastizität (DE-588)4185143-2 gnd |
| topic_facet | Mathematik Differential equations, Hyperbolic Initial value problems Numerical solutions Thermoelasticity Mathematics Nichtlineare hyperbolische Differentialgleichung Thermoelastizität |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007068312&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003039 |
| work_keys_str_mv | AT gawineckijerzyaugust globalsolutionstoinitialvalueproblemsinnonlinearhyperbolicthermoelasticity |