Degenerate differential equations in Banach spaces:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Dekker
1999
|
| Series: | Monographs and textbooks in pure and applied mathematics
215 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 312 S. |
| ISBN: | 0824716779 |
Staff View
MARC
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| 245 | 1 | 0 | |a Degenerate differential equations in Banach spaces |c Angelo Favini ; Atsushi Yagi |
| 264 | 1 | |a New York [u.a.] |b Dekker |c 1999 | |
| 300 | |a XI, 312 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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| 650 | 7 | |a Análise funcional |2 larpcal | |
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| 650 | 7 | |a Banach, Espaces de |2 ram | |
| 650 | 4 | |a Equation différentielle dégénérée | |
| 650 | 7 | |a Equações diferenciais |2 larpcal | |
| 650 | 4 | |a Opérateur linéaire multivalué | |
| 650 | 4 | |a Équations différentielles dégénérées | |
| 650 | 4 | |a Banach spaces | |
| 650 | 4 | |a Degenerate differential equations | |
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Record in the Search Index
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| adam_text | DEGENERATE DIFFERENTIAL EQUATIONS IN BANACH SPACES CONTENTS PREFACE V
INTRODUCTION 1 CHAPTER 0. PRELIMINARIES AND NOTATIONS 9 0.1 LINEAR
OPERATORS 9 0.2 INTERPOLATION SPACES 13 0.3 FRACTIONAL POWERS AND
INTERPOLATION 17 CHAPTER I. MULTIVALUED LINEAR OPERATORS 21 1.1
DEFINITIONS 21 1.2 SUM AND PRODUCT OF MULTIVALUED LINEAR OPERATORS 22
1.3 RESOLVENTS OF MULTIVALUED LINEAR OPERATORS 23 1.4 FRACTIONAL POWERS
AND INTERPOLATION SPACES 25 1.5 DUAL OPERATORS 27 1.6 MODIFIED
RESOLVENTS 27 CHAPTER II. DEGENERATE EQUATIONS OF HYPERBOLIC TYPE 29 2.1
GENERATION OF SEMIGROUP 29 2.2 MULTIVALUED EQUATIONS *F * AU + F(T) 33
2.3 DISSIPATIVE MULTIVALUED LINEAR OPERATORS 35 2.4 DEGENERATE EVOLUTION
EQUATIONS 37 2.5 EXAMPLES 40 CHAPTER III. DEGENERATE EQUATIONS OF
PARABOLIC TYPE, I: THE AUTONOMOUS CASE 47 3.1 GENERATION OF INFINITELY
DIFFERENTIATE SEMIGROUPS 47 3.2 MULTIVALUED LINEAR EQUATIONS ^ 6 AU +
F(T) IN THE PARABOLIC CASE 53 3.3 DEGENERATE EVOLUTION PROBLEMS OF
PARABOLIC TYPE 55 3.4 MAXIMAL REGULARITY OF SOLUTIONS IN THE OPTIMAL
CASE 59 3.5 MAXIMAL REGULARITY OF SOLUTIONS IN THE GENERAL CASE 64 3.6
SOME RESULTS OF TROTTER AND KATO TYPE 69 3.7 APPLICATIONS 73 IX X
CONTENTS CHAPTER IV. DEGENERATE EQUATIONS OF PARABOLIC TYPE, II: THE NON
AUTONOMOUS CASE 91 4.1 THE FUNDAMENTAL SOLUTION TO ^ * A{I)U + F(T) 91
4.2 MAXIMAL REGULARITY OF SOLUTIONS TO ^ E A{T)U + F(T) 100 4.3
DEGENERATE EVOLUTION EQUATIONS 105 4.4 DEGENERATE EQUATIONS OF THE FORM
^ T T L V = LV + F(T)ANDT T %T=LU+F(T) 111 4.5 APPLICATIONS 115 4.6 THE
OPERATOR EQUATION TAIV * CV = /: SOME EXTENSIONS 121 CHAPTER V.
DEGENERATE EQUATIONS: THE GENERAL CASE 127 5.1 THE OPERATIONAL EQUATION
TMV * LV = /: THE GENERAL CASE 128 5.2 THE EQUATIONS T MV-LV = F(T)
AND M^-LU = /(*): THE GENERAL CASE 132 5.3 APPLICATIONS 136 5.4 THE
GEVREY CASE 147 5.5 ABSTRACT POTENTIAL OPERATORS 153 5.6 THE CASE OF A =
0 AN ISOLATED SINGULAR POINT OF (XL - M)- 1 157 5.7 EQUATIONS OF HIGHER
ORDER IN TIME 162 5.8 INTEGRATED SOLUTIONS TO IMPLICIT DIFFERENTIAL
EQUATIONS 167 5.9 SOME FURTHER RESULTS ON CONVERGENCE OF SOLUTIONS 174
CHAPTER VI. DEGENERATE DIFFERENTIAL EQUATIONS OF THE SECOND ORDER 181
6.1 EQUATIONS OF PARABOLIC TYPE 181 6.2 EXAMPLES 197 6.3 EQUATIONS OF
HYPERBOLIC TYPE . 210 6.4 EQUATIONS OF HYPERBOLIC TYPE (CONTINUED) 221
6.5 ABSTRACT ELLIPTIC EQUATIONS 225 6.6 ABSTRACT ELLIPTIC-HYPERBOLIC
EQUATIONS 227 CHAPTER VII. DEGENERATE PARABOLIC EQUATIONS: SOME
ALTERNATIVE APPROACHES 237 7.1 GENERATION THEOREMS FOR AU 237 7.2
GENERATION THEOREMS FOR AU + P : A FIRST T APPROACH 257 7.3
GENERATION THEOREMS FOR AU + P : OTHER APPROACHES 268 7.4 DIFFERENTIAL
OPERATORS ON (0, OO) 283 CONTENTS XI BIBLIOGRAPHICAL REMARKS 289
BIBLIOGRAPHY 295 LIST OF SYMBOLS 309 INDEX 311
|
| any_adam_object | 1 |
| author | Favini, Angelo 1946- Yagi, Atsushi |
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| classification_rvk | SK 540 SK 620 |
| ctrlnum | (OCoLC)39659372 (DE-599)BVBBV012512621 |
| dewey-full | 515/.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.353 |
| dewey-search | 515/.353 |
| dewey-sort | 3515 3353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV012512621 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:28:52Z |
| institution | BVB |
| isbn | 0824716779 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008493012 |
| oclc_num | 39659372 |
| open_access_boolean | |
| owner | DE-703 DE-11 |
| owner_facet | DE-703 DE-11 |
| physical | XI, 312 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Dekker |
| record_format | marc |
| series | Monographs and textbooks in pure and applied mathematics |
| series2 | Monographs and textbooks in pure and applied mathematics |
| spelling | Favini, Angelo 1946- Verfasser (DE-588)1025733959 aut Degenerate differential equations in Banach spaces Angelo Favini ; Atsushi Yagi New York [u.a.] Dekker 1999 XI, 312 S. txt rdacontent n rdamedia nc rdacarrier Monographs and textbooks in pure and applied mathematics 215 Análise funcional larpcal Banach, Espaces de Banach, Espaces de ram Equation différentielle dégénérée Equações diferenciais larpcal Opérateur linéaire multivalué Équations différentielles dégénérées Banach spaces Degenerate differential equations Entartete partielle Differentialgleichung (DE-588)4152321-0 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf Entartete partielle Differentialgleichung (DE-588)4152321-0 s Banach-Raum (DE-588)4004402-6 s DE-604 Yagi, Atsushi Verfasser aut Monographs and textbooks in pure and applied mathematics 215 (DE-604)BV000001885 215 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008493012&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Favini, Angelo 1946- Yagi, Atsushi Degenerate differential equations in Banach spaces Monographs and textbooks in pure and applied mathematics Análise funcional larpcal Banach, Espaces de Banach, Espaces de ram Equation différentielle dégénérée Equações diferenciais larpcal Opérateur linéaire multivalué Équations différentielles dégénérées Banach spaces Degenerate differential equations Entartete partielle Differentialgleichung (DE-588)4152321-0 gnd Banach-Raum (DE-588)4004402-6 gnd |
| subject_GND | (DE-588)4152321-0 (DE-588)4004402-6 |
| title | Degenerate differential equations in Banach spaces |
| title_auth | Degenerate differential equations in Banach spaces |
| title_exact_search | Degenerate differential equations in Banach spaces |
| title_full | Degenerate differential equations in Banach spaces Angelo Favini ; Atsushi Yagi |
| title_fullStr | Degenerate differential equations in Banach spaces Angelo Favini ; Atsushi Yagi |
| title_full_unstemmed | Degenerate differential equations in Banach spaces Angelo Favini ; Atsushi Yagi |
| title_short | Degenerate differential equations in Banach spaces |
| title_sort | degenerate differential equations in banach spaces |
| topic | Análise funcional larpcal Banach, Espaces de Banach, Espaces de ram Equation différentielle dégénérée Equações diferenciais larpcal Opérateur linéaire multivalué Équations différentielles dégénérées Banach spaces Degenerate differential equations Entartete partielle Differentialgleichung (DE-588)4152321-0 gnd Banach-Raum (DE-588)4004402-6 gnd |
| topic_facet | Análise funcional Banach, Espaces de Equation différentielle dégénérée Equações diferenciais Opérateur linéaire multivalué Équations différentielles dégénérées Banach spaces Degenerate differential equations Entartete partielle Differentialgleichung Banach-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008493012&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
| work_keys_str_mv | AT faviniangelo degeneratedifferentialequationsinbanachspaces AT yagiatsushi degeneratedifferentialequationsinbanachspaces |