Nonlinear evolution equations and applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Romany |
| Published: |
Bucuresti, Romania
Ed. Academiei
1988
|
| Edition: | 2. ed. |
| Series: | Mathematics and its applications / East European series
26. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Rumän. übsers. - EST: Ecuaţii neliniare de evoluţie şi aplicaţii |
| Physical Description: | XII, 340 S. |
| ISBN: | 9027724865 |
Staff View
MARC
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| 245 | 1 | 0 | |a Nonlinear evolution equations and applications |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Bucuresti, Romania |b Ed. Academiei |c 1988 | |
| 300 | |a XII, 340 S. | ||
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| 490 | 1 | |a Mathematics and its applications / East European series |v 26. | |
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| 650 | 7 | |a Analise Matematica |2 larpcal | |
| 650 | 4 | |a Equation aux différences | |
| 650 | 4 | |a Equation aux dérivées partielles parabolique | |
| 650 | 4 | |a Equation intégro-différentielle | |
| 650 | 4 | |a Equation évolution non linéaire | |
| 650 | 4 | |a Stabilité solution | |
| 650 | 4 | |a Système hyperbolique | |
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Record in the Search Index
| _version_ | 1804117894808731648 |
|---|---|
| adam_text | Table of Contents
Series Editor s Preface ix
Preface xi
Introduction 1
CHAPTER 0
Preliminaries of Functional Analysis 3
§ 1. Usual topologies on Banach spaces 3
§ 2. Lp spaces 6
§3. Scalar distributions. Bobolev spaces 7
§ 4. Veditorial distributions. W t spaces 9
§ 5. Measures 11
CHAPTER I
Elements of Nonlinear Analysis 15
§ 1. Monotone operators. Convex functions 15
1.1. Monotone operators 15
1.2. Convex functions. The subdifferential .... 32
§ 2. Existence and regularity of solutions to evolution
equations in Hilbert spaces 46
CHAPTEE II
Stability of Solutions to Evolution Equations in Hilbert
Spaces 69
§ 1. Weak convergence results 69
1.1. Boundedness of solutions on R+. Weak conver¬
gence of averages as t oo 69
1.2. A comparison theorem 77
vi TABLE OF CONTENTS
1.3. ISTecessary and sufficient conditions for the weak
convergence of solutions as t oo 79
1.4. Sufficient conditions for the weak convergence
of solutions as t ¦ oo 81
1.5. Some comments 89
1.6. Solutions with sublinear growth 92
§ 2. Strong convergence results 98
2.1. Strong convergence of averages, as t oo, in
the odd case 98
2.2. Sufficient conditions for the strong convergence
of solutions, as t ¦ oo 106
2.3. Properties of co limit sets 118 :
2.4. Solutions with compact support 135
§ 3. Convergence of solutions for difference equations of
monotone type 138
3.1. First order difference equations . 138 :
3.2. Second order difference equations 156 i
§ 4. Large time behaviour of solutions in the case of periodic j
forcing. The asymptotic dosing problem 168 ;
4.1. Periodic forcing 168
4.2. The asymptotic dosing problem 175
Bibliographical comments 183 j
CHAPTEE III
Applications 187
§ 1. An infinite delay equation 187 I
§ 2. The nonlinear wave equation 205 i
2.1. Existence and regularity of solutions 205
2.2. Asymptotic behaviour of solutions 215
§ 3. Parabolic equations with monotone boundary conditions 218 •
3.1. Some lemmas 220
3.2. A perturbation result 227 i
3.3. The stationary problem 233 i,
3.4. Existence and regularity of solutions 235 j;
3.5. Asymptotic behaviour of solutions 238 |
3.6. Examples 242 I
TABLE OF CONTENTS vii
§ 4. A class of partial differential systems of hyperbolic
type 245
4.1. Existence and regularity results 247
4.2. Asymptotic behaviour of solutions 286
4.3. The cases xeR+ and xeR 309
4.4. Examples 314
Bibliographical comments 326
References 329
Index 338
|
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| author | Moroşanu, Gheorghe |
| author_facet | Moroşanu, Gheorghe |
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| ctrlnum | (OCoLC)15653918 (DE-599)BVBBV003545975 |
| dewey-full | 515.3/53 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.3/53 |
| dewey-search | 515.3/53 |
| dewey-sort | 3515.3 253 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| institution | BVB |
| isbn | 9027724865 |
| language | English Romany |
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| owner_facet | DE-384 DE-703 |
| physical | XII, 340 S. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Ed. Academiei |
| record_format | marc |
| series2 | Mathematics and its applications / East European series |
| spelling | Moroşanu, Gheorghe Verfasser aut Nonlinear evolution equations and applications 2. ed. Bucuresti, Romania Ed. Academiei 1988 XII, 340 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications / East European series 26. Aus d. Rumän. übsers. - EST: Ecuaţii neliniare de evoluţie şi aplicaţii Analise Matematica larpcal Equation aux différences Equation aux dérivées partielles parabolique Equation intégro-différentielle Equation évolution non linéaire Stabilité solution Système hyperbolique Équations d'évolution non linéaires Équations d'évolution non linéaires ram Evolution equations, Nonlinear Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Nichtlineare Gleichung (DE-588)4455337-7 gnd rswk-swf Nichtlineare Evolutionsgleichung (DE-588)4221363-0 s DE-604 Nichtlineare Gleichung (DE-588)4455337-7 s 1\p DE-604 Partielle Differentialgleichung (DE-588)4044779-0 s 2\p DE-604 East European series Mathematics and its applications 26. (DE-604)BV000006709 26. HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002253833&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 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Moroşanu, Gheorghe Nonlinear evolution equations and applications Analise Matematica larpcal Equation aux différences Equation aux dérivées partielles parabolique Equation intégro-différentielle Equation évolution non linéaire Stabilité solution Système hyperbolique Équations d'évolution non linéaires Équations d'évolution non linéaires ram Evolution equations, Nonlinear Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Nichtlineare Gleichung (DE-588)4455337-7 gnd |
| subject_GND | (DE-588)4221363-0 (DE-588)4044779-0 (DE-588)4455337-7 |
| title | Nonlinear evolution equations and applications |
| title_auth | Nonlinear evolution equations and applications |
| title_exact_search | Nonlinear evolution equations and applications |
| title_full | Nonlinear evolution equations and applications |
| title_fullStr | Nonlinear evolution equations and applications |
| title_full_unstemmed | Nonlinear evolution equations and applications |
| title_short | Nonlinear evolution equations and applications |
| title_sort | nonlinear evolution equations and applications |
| topic | Analise Matematica larpcal Equation aux différences Equation aux dérivées partielles parabolique Equation intégro-différentielle Equation évolution non linéaire Stabilité solution Système hyperbolique Équations d'évolution non linéaires Équations d'évolution non linéaires ram Evolution equations, Nonlinear Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Nichtlineare Gleichung (DE-588)4455337-7 gnd |
| topic_facet | Analise Matematica Equation aux différences Equation aux dérivées partielles parabolique Equation intégro-différentielle Equation évolution non linéaire Stabilité solution Système hyperbolique Équations d'évolution non linéaires Evolution equations, Nonlinear Nichtlineare Evolutionsgleichung Partielle Differentialgleichung Nichtlineare Gleichung |
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| volume_link | (DE-604)BV000006709 |
| work_keys_str_mv | AT morosanugheorghe nonlinearevolutionequationsandapplications |