On Dirichlet's Boundary Value Problem: an Lp-theory based on a generalization of Gårding's inequality
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1972
|
| Series: | Lecture notes in mathematics
268 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 234 - 238 |
| Physical Description: | IV, 238 S. |
| ISBN: | 3540059032 0387059032 |
Staff View
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| 245 | 1 | 0 | |a On Dirichlet's Boundary Value Problem |b an Lp-theory based on a generalization of Gårding's inequality |c Christian G. Simader |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1972 | |
| 300 | |a IV, 238 S. | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 268 | |
| 500 | |a Literaturverz. S. 234 - 238 | ||
| 650 | 4 | |a Dirichlet, Problème de | |
| 650 | 4 | |a Problèmes aux limites | |
| 650 | 4 | |a Équations fonctionnelles | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Dirichlet problem | |
| 650 | 4 | |a Functional equations | |
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Record in the Search Index
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| adam_text | Contents
Outline 1
Chapter I : A priori estimates for solutions of linear 13
elliptic functional equations with constant
coefficients
§ 1. Some definitions. Formulation of a basic 13
a priori estimate
§ 2. Construction of certain testing functions . 21
Analytic tools
§ 3. Proofs of local and global a priori estimates 41
and regularity theorems
Chapter II : A representation for continuous linear functio- 84
nals on W^ P(G) (1 p «) and its applications:
A generalization of Garding s inequality and
existence theorems
§ 4. A representation for continuous linear functio- 85
nals on Wm p(G) (1 p »)
§ 5. Bilinear forms and a generalization of the 97
Lax-Milgram-theorem
§ 6. Some coerciviness inequalities generalizing 101
Garding s inequality
§ 7. Existence theorems in the case of uniformly 121
strongly elliptic Dirichlet bilinear forms
Chapter III : Regularity and existence theorems for uniformly 133
elliptic functional equations
§ 8. Some properties of the spaces T P(G) 134
§ 9. Differentiability theorems 137
§ 10. Predholm s alternative for uniformly elliptic 163
functional equations
§11. Further regularity theorems 186
IV
Appendix 1 200
Appendix 2 228
List of notations 230
Bibliography 234
At this point I want to thank my academic teachers Prof. E. Heinz
and Prof. E. Wienholtz. Further I want to thank the editors of the
Lecture Notes Series, Prof. A. Dold and Prof. B. Eckmann, and
Springer-Verlag for publishing my manuscript in this series. Last but
not least I thank Mr. G. Abersfelder for typing the manuscript.
|
| any_adam_object | 1 |
| author | Simader, Christian G. 1943-2019 |
| author_GND | (DE-588)133701336 |
| author_facet | Simader, Christian G. 1943-2019 |
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| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 SK 540 |
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| dewey-full | 515/.353 510/.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
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| dewey-search | 515/.353 510/.8 |
| dewey-sort | 3515 3353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| genre | Dirichlet's boundary value problem gnd |
| genre_facet | Dirichlet's boundary value problem |
| id | DE-604.BV003013063 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:52:14Z |
| institution | BVB |
| isbn | 3540059032 0387059032 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001886246 |
| oclc_num | 417124 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-91G DE-BY-TUM DE-739 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-703 DE-706 DE-83 DE-188 DE-11 DE-210 |
| owner_facet | DE-12 DE-384 DE-91G DE-BY-TUM DE-739 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-703 DE-706 DE-83 DE-188 DE-11 DE-210 |
| physical | IV, 238 S. |
| psigel | HUB-ZB011201109 |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Simader, Christian G. 1943-2019 Verfasser (DE-588)133701336 aut On Dirichlet's Boundary Value Problem an Lp-theory based on a generalization of Gårding's inequality Christian G. Simader Berlin [u.a.] Springer 1972 IV, 238 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 268 Literaturverz. S. 234 - 238 Dirichlet, Problème de Problèmes aux limites Équations fonctionnelles Boundary value problems Dirichlet problem Functional equations Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Dirichlet-Problem (DE-588)4129762-3 gnd rswk-swf Dirichlet's boundary value problem gnd rswk-swf Dirichlet's boundary value problem f DE-604 Dirichlet-Problem (DE-588)4129762-3 s Partielle Differentialgleichung (DE-588)4044779-0 s 1\p DE-604 Lecture notes in mathematics 268 (DE-604)BV000676446 268 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001886246&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 |
| spellingShingle | Simader, Christian G. 1943-2019 On Dirichlet's Boundary Value Problem an Lp-theory based on a generalization of Gårding's inequality Lecture notes in mathematics Dirichlet, Problème de Problèmes aux limites Équations fonctionnelles Boundary value problems Dirichlet problem Functional equations Partielle Differentialgleichung (DE-588)4044779-0 gnd Dirichlet-Problem (DE-588)4129762-3 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4129762-3 |
| title | On Dirichlet's Boundary Value Problem an Lp-theory based on a generalization of Gårding's inequality |
| title_auth | On Dirichlet's Boundary Value Problem an Lp-theory based on a generalization of Gårding's inequality |
| title_exact_search | On Dirichlet's Boundary Value Problem an Lp-theory based on a generalization of Gårding's inequality |
| title_full | On Dirichlet's Boundary Value Problem an Lp-theory based on a generalization of Gårding's inequality Christian G. Simader |
| title_fullStr | On Dirichlet's Boundary Value Problem an Lp-theory based on a generalization of Gårding's inequality Christian G. Simader |
| title_full_unstemmed | On Dirichlet's Boundary Value Problem an Lp-theory based on a generalization of Gårding's inequality Christian G. Simader |
| title_short | On Dirichlet's Boundary Value Problem |
| title_sort | on dirichlet s boundary value problem an lp theory based on a generalization of garding s inequality |
| title_sub | an Lp-theory based on a generalization of Gårding's inequality |
| topic | Dirichlet, Problème de Problèmes aux limites Équations fonctionnelles Boundary value problems Dirichlet problem Functional equations Partielle Differentialgleichung (DE-588)4044779-0 gnd Dirichlet-Problem (DE-588)4129762-3 gnd |
| topic_facet | Dirichlet, Problème de Problèmes aux limites Équations fonctionnelles Boundary value problems Dirichlet problem Functional equations Partielle Differentialgleichung Dirichlet-Problem Dirichlet's boundary value problem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001886246&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT simaderchristiang ondirichletsboundaryvalueproblemanlptheorybasedonageneralizationofgardingsinequality |