Boundary value problems in the spaces of distributions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer Acad. Publ.
1999
|
| Schriftenreihe: | Mathematics and its applications
498 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 276 S. |
| ISBN: | 0792360257 |
Internformat
MARC
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| 100 | 1 | |a Rojtberg, Jakov A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Boundary value problems in the spaces of distributions |c by Yakov Roitberg |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer Acad. Publ. |c 1999 | |
| 300 | |a X, 276 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics and its applications |v 498 | |
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Datensatz im Suchindex
| _version_ | 1804127909361745920 |
|---|---|
| adam_text | TABLE OF CONTENTS
Preface ix
0. Introduction 1
0.1. Green s Formulas and Theorems on Isomorphisms for General
Elliptic Boundary Value Problems for Systems of Douglis
Nirenberg Structure 1
0.2. Elliptic Boundary Value Problems for General Systems of
Equations with Additional Unknown Functions Denned at
the Boundary of the Domain 8
0.3. The Sobolev Problem 10
0.4. Hyperbolic Problems for General Systems of Equations in
Complete Scales of Spaces of Sobolev Type 11
0.5. Green s Formula and Density of Solutions for General
Parabolic Boundary Value Problems in Functional Spaces on
Manifolds 17
1. Green s Formulas and Theorems on Complete Collec¬
tion of Isomorphisms for General Elliptic Boundary
Value Problems for Systems of Douglis Nirenberg
Structure I
1.1. General Elliptic Boundary Value Problems for Systems of
Equations 19
1.2. Green s Formula 26
1.3. On Various Theorems on Isomorphisms for General Elliptic
Boundary Value Problems for Systems of Equations 38
1.4. Addition. Proof of Lemma 1.2.2 48
1.5. Elliptic Boundary Value Problems with a Parameter for
General Systems of Equations 53
v
vi
1.6. On Various Theorems on Complete Collection of
Isomorphisms for Parameter Elliptic Boundary Value
Problems for Systems of Equations
1.7. Cauchy Problem and Calderon Projections for General
Parameter Elliptic Systems 85
1.8. Parameter Elliptic in the Kozhevnikov Sense Mixed Order
Operators on a Closed Manifold in Complete Scale of Sobolev
Type Spaces
2. Elliptic Boundary Value Problems for General
Systems of Equations with Additional Unknown
Functions Denned at the Boundary of a Domain 111
2.1. Statement of a Problem 111
2.2. Definition of Ellipticity of Problem (2.1.1) (2.1.2) 113
2.3. Functional Spaces 116
2.4. Theorem on Complete Collection of Isomorphisms 121
2.5. Proof of Isomorphisms Theorem for Model Problem 126
2.6. Proof of Theorem 2.4.1 135
2.7. Green s Formula for problem (2.1.1) (2.1.2) 144
2.8. Parameter Elliptic Boundary Value Problems for General
Systems of Equations with Additional Unknown Functions
Defined at the Boundary of Domain. 151
3. Sobolev s Problem 157
3.1. The Sobolev Problem in the Complete Scale of Banach Spaces 157
3.2. The Sobolev Problem with a Parameter in Complete Scale of
Banach Spaces 171
3.3. Generalizations. Applications 180
4. The Cauchv Problem for General Hyperbolic 183
Systems in the Complete Scale of Sobolev Type Spaces
4.1. Statement of a Problem. Functional Spaces 183
4.2. Main Results 186
vii
5. Boundary Value and Mixed Problems for General
Hyperbolic Systems 193
5.1. General Strictly Hyperbolic Systems. Statement of Problems 193
5.2. Functional Spaces 196
5.3. Hyperbolic Systems in Rn+1 204
5.4. Solvability of Boundary Value and Mixed Hyperbolic
Problems in Complete scales of Sobolev Type Spaces 208
5.5. Lopatinskii Condition 211
5.6. Proof of Theorem 5.4.1 232
6. Green s Formula and Density of Solutions for
General Parabolic Boundary Value Problems in
Functional Spaces on Manifolds 251
6.1. Statement of Main Results 251
6.2. Proofs. Elliptic Boundary Value Problems with a Parameter 257
References 267
Subject Index 275
|
| any_adam_object | 1 |
| author | Rojtberg, Jakov A. |
| author_facet | Rojtberg, Jakov A. |
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| author_sort | Rojtberg, Jakov A. |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515.35 |
| dewey-search | 515.35 |
| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV013208809 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:40:50Z |
| institution | BVB |
| isbn | 0792360257 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008999418 |
| oclc_num | 247817289 |
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| physical | X, 276 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
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| publisher | Kluwer Acad. Publ. |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Rojtberg, Jakov A. Verfasser aut Boundary value problems in the spaces of distributions by Yakov Roitberg Dordrecht [u.a.] Kluwer Acad. Publ. 1999 X, 276 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 498 Distributionenraum (DE-588)4289272-7 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Distributionenraum (DE-588)4289272-7 s Randwertproblem (DE-588)4048395-2 s DE-604 Mathematics and its applications 498 (DE-604)BV008163334 498 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008999418&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rojtberg, Jakov A. Boundary value problems in the spaces of distributions Mathematics and its applications Distributionenraum (DE-588)4289272-7 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4289272-7 (DE-588)4048395-2 |
| title | Boundary value problems in the spaces of distributions |
| title_auth | Boundary value problems in the spaces of distributions |
| title_exact_search | Boundary value problems in the spaces of distributions |
| title_full | Boundary value problems in the spaces of distributions by Yakov Roitberg |
| title_fullStr | Boundary value problems in the spaces of distributions by Yakov Roitberg |
| title_full_unstemmed | Boundary value problems in the spaces of distributions by Yakov Roitberg |
| title_short | Boundary value problems in the spaces of distributions |
| title_sort | boundary value problems in the spaces of distributions |
| topic | Distributionenraum (DE-588)4289272-7 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Distributionenraum Randwertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008999418&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008163334 |
| work_keys_str_mv | AT rojtbergjakova boundaryvalueproblemsinthespacesofdistributions |