Partial differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Mineola, N.Y.
Dover Publications
2008
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| Edition: | Dover ed., 1. publ. |
| Subjects: | |
| Online Access: | Table of contents only Publisher description Inhaltsverzeichnis |
| Item Description: | Originally published: New York : Holt, Rinehart and Winston, c1969. |
| Physical Description: | 262 Seiten 24 cm |
| ISBN: | 9780486469195 0486469190 |
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MARC
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| 245 | 1 | 0 | |a Partial differential equations |c Avner Friedman |
| 250 | |a Dover ed., 1. publ. | ||
| 264 | 1 | |a Mineola, N.Y. |b Dover Publications |c 2008 | |
| 300 | |a 262 Seiten |c 24 cm | ||
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| 500 | |a Originally published: New York : Holt, Rinehart and Winston, c1969. | ||
| 650 | 4 | |a Differential equations, Partial | |
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Record in the Search Index
| _version_ | 1804176706312863745 |
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CONTENTS
Part 11 ELLIPTIC EQUATIONS 1
DEFINITIONS 1
GREEN S IDENTITY 2
FUNDAMENTAL SOLUTIONS 4
CONSTRUCTION OF FUNDAMENTAL SOLUTIONS 5
PARTITION OF UNITY 9
WEAK AND STRONG DERIVATIVES 11
STRONG DERIVATIVE AS A LOCAL PROPERTY 16
CALCULUS INEQUALITIES 19
EXTENDED SOBOLEV INEQUALITIES IN Rn 22
EXTENDED SOBOLEV INEQUALITIES IN BOUNDED DOMAINS 27
IMBEDDING THEOREMS 29
GARDING S INEQUALITY 32
THE DIRICHLET PROBLEM 37
EXISTENCE THEORY 41
REGULARITY IN THE INTERIOR 46
REGULARITY IN THE INTERIOR (CONTINUED) 54
REGULARITY ON THE BOUNDARY 61
A PRIORI INEQUALITIES 68
GENERAL BOUNDARY CONDITIONS 73
PROBLEMS 81
Part 2 I EVOLUTION EQUATIONS 91
STRONGLY CONTINUOUS SEMIGROUPS 91
ANALYTIC SEMIGROUPS 101
FUNDAMENTAL SOLUTIONS AND THE CAUCHY PROBLEMS 108
CONSTRUCTION OF FUNDAMENTAL SOLUTIONS 110
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CONSTRUCTION OF FUNDAMENTAL SOLUTIONS
(CONTINUED) 118
UNIQUENESS OF FUNDAMENTAL SOLUTIONS 122
SOLUTION OF THE CAUCHY PROBLEM 126
DIFFERENTIABILITY OF SOLUTIONS 130
THE INITIAL-BOUNDARY VALUE PROBLEM FOR
PARABOLIC EQUATIONS 134
SMOOTHNESS OF THE SOLUTIONS OF THE INITIAL-BOUNDARY
VALUE PROBLEM 137
A DIFFERENTIABILITY THEOREM IN HILBERT SPACE 143
A UNIQUENESS THEOREM IN HILBERT SPACE 149
CONVERGENCE OF SOLUTIONS AS f- oo 153
FRACTIONAL POWERS OF OPERATORS 158
PROOF OF LEMMA 14.5 164
NONLINEAR EVOLUTION EQUATIONS 169
NONLINEAR PARABOLIC EQUATIONS 177
UNIQUENESS FOR BACKWARD EQUATIONS 181
LOWER BOUNDS ON SOLUTIONS AS f-*-oo 183
PROBLEMS 187
Part 3 I SELECTED TOPICS 199
ANALYTICITY OF SOLUTIONS OF ELLIPTIC EQUATIONS 199
ANALYTICITY OF SOLUTIONS OF EVOLUTION EQUATIONS 206
ANALYTICITY OF SOLUTIONS OF PARABOLIC EQUATIONS 212
LOWER BOUNDS FOR SOLUTIONS OF EVOLUTION
INEQUALITIES 216
WEIGHTED ELLIPTIC EQUATIONS 220
ASYMPTOTIC EXPANSIONS OF SOLUTIONS OF EVOLUTION
EQUATIONS 226
ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF ELLIPTIC
EQUATIONS 237
INTEGRAL EQUATIONS IN BANACH SPACE 242
OPTIMAL CONTROL IN BANACH SPACE 245
BIBLIOGRAPHICAL REMARKS 253
PART 1 253
PART 2 253
PART 3 254
BIBLIOGRAPHY
255
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| discipline | Mathematik |
| edition | Dover ed., 1. publ. |
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| id | DE-604.BV043838511 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:36:27Z |
| institution | BVB |
| isbn | 9780486469195 0486469190 |
| language | English |
| lccn | 2008028444 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029249106 |
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| owner | DE-739 DE-573 |
| owner_facet | DE-739 DE-573 |
| physical | 262 Seiten 24 cm |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Dover Publications |
| record_format | marc |
| spelling | Friedman, Avner 1932- Verfasser (DE-588)135938368 aut Partial differential equations Avner Friedman Dover ed., 1. publ. Mineola, N.Y. Dover Publications 2008 262 Seiten 24 cm txt rdacontent n rdamedia nc rdacarrier Originally published: New York : Holt, Rinehart and Winston, c1969. Differential equations, Partial Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 http://www.loc.gov/catdir/toc/fy0903/2008028444.html Table of contents only http://www.loc.gov/catdir/enhancements/fy0835/2008028444-d.html Publisher description Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029249106&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Friedman, Avner 1932- Partial differential equations Differential equations, Partial Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4044779-0 |
| title | Partial differential equations |
| title_auth | Partial differential equations |
| title_exact_search | Partial differential equations |
| title_full | Partial differential equations Avner Friedman |
| title_fullStr | Partial differential equations Avner Friedman |
| title_full_unstemmed | Partial differential equations Avner Friedman |
| title_short | Partial differential equations |
| title_sort | partial differential equations |
| topic | Differential equations, Partial Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Differential equations, Partial Partielle Differentialgleichung |
| url | http://www.loc.gov/catdir/toc/fy0903/2008028444.html http://www.loc.gov/catdir/enhancements/fy0835/2008028444-d.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029249106&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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