Second order equations with nonnegative characteristic form:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Providence, RI u.a.
American Math. Soc. u.a.
1973
|
| Subjects: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002364235&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Physical Description: | VII, 259 S. |
| ISBN: | 0306307510 |
Staff View
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| 240 | 1 | 0 | |a Uravnenija vtorogo porjadka s neotricatel'noj charakterističeskoj formoj |
| 245 | 1 | 0 | |a Second order equations with nonnegative characteristic form |c O. A. Oleǐnik and E. V. Radkevič |
| 264 | 1 | |a Providence, RI u.a. |b American Math. Soc. u.a. |c 1973 | |
| 300 | |a VII, 259 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 650 | 7 | |a Equacoes Diferenciais Parciais |2 larpcal | |
| 650 | 4 | |a Problèmes aux limites | |
| 650 | 7 | |a problème Cauchy |2 inriac | |
| 650 | 7 | |a problème aux limites |2 inriac | |
| 650 | 4 | |a Équations aux dérivées partielles | |
| 650 | 7 | |a Équations différentielles |2 ram | |
| 650 | 7 | |a équation différentielle elliptique |2 inriac | |
| 650 | 7 | |a équation différentielle second ordre |2 inriac | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 655 | 7 | |a Nichtnegative Charakteristische Form |2 gnd |9 rswk-swf | |
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Record in the Search Index
| DE-BY-TUM_call_number | 0102 MAT 355f 2001 A 26807 |
|---|---|
| DE-BY-TUM_katkey | 497654 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020014051 |
| _version_ | 1821936857395494913 |
| adam_text | Dedicated to I.G. PetrovskiT
CONTENTS
Introduction 1
Chapter I. The first boundary value problem 15
1. Notation. Auxiliary results. Formulation of the first boundary value
problem 15
2. A priori estimates in the spaces £p(£2) 22
3. Existence of a solution of the first boundary value problem in the
spaces £p(ft) 25
4. Existence of a weak solution of the first boundary value problem in
Hilbert space 28
5. Solution of the first boundary value problem by the method of ellip¬
tic regularization 30
6. Uniqueness theorems for weak solutions of the first boundary value
problem 41
7. A lemma on nonnegative quadratic forms 64
8. On smoothness of weak solutions of the first boundary value problem.
Conditions for existence of solutions with bounded derivatives 66
9. On conditions for the existence of a solution of the first boundary
value problem in the spaces of S. L. Sobolev 102
Chapter II. On the local smoothness of weak solutions and hypo
ELLIPTICITY OF SECOND ORDER DIFFERENTIAL EQUATIONS 114
1. The spaces Ks 114
2. Some properties of pseudodifferential operators 125
3. A necessary condition for hypoellipticity 139
4. Sufficient conditions for local smoothness of weak solutions and hypo¬
ellipticity of differential operators 142
5. A priori estimates and hypoellipticity theorems for the operators of
Hormander 157
v
vi CONTENTS
6. A priori estimates and hypoellipticity theorems for general second or¬
der differential equations 177
7. On the solution of the first boundary value problem in nonsmooth do¬
mains. The method of M. V. Keldys 194
8. On hypoellipticity of second order differential operators with analytic
coefficients 199
Chapter III. Additional topics 208
1. Qualitative properties of solutions of second order equations with non
negative characteristic form 208
2. The Cauchy problem for degenerating second order hyperbolic equa¬
tions 220
3. Necessary conditions for correctness of the Cauchy problem for second
order equations 237
Bibliography 251
|
| any_adam_object | 1 |
| author | Olejnik, Olʹga A. 1925-2001 Radkevič, E. V. |
| author_GND | (DE-588)114199051 |
| author_facet | Olejnik, Olʹga A. 1925-2001 Radkevič, E. V. |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.353 |
| dewey-search | 515/.353 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| genre | Nichtnegative Charakteristische Form gnd |
| genre_facet | Nichtnegative Charakteristische Form |
| id | DE-604.BV003714248 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T08:09:04Z |
| institution | BVB |
| isbn | 0306307510 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002364235 |
| oclc_num | 722970 |
| open_access_boolean | |
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| owner_facet | DE-91G DE-BY-TUM DE-703 DE-739 DE-355 DE-BY-UBR DE-824 DE-20 DE-19 DE-BY-UBM DE-29T DE-706 DE-83 DE-188 |
| physical | VII, 259 S. |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | American Math. Soc. u.a. |
| record_format | marc |
| spellingShingle | Olejnik, Olʹga A. 1925-2001 Radkevič, E. V. Second order equations with nonnegative characteristic form 03027364100 ram Equacoes Diferenciais Parciais larpcal Problèmes aux limites problème Cauchy inriac problème aux limites inriac Équations aux dérivées partielles Équations différentielles ram équation différentielle elliptique inriac équation différentielle second ordre inriac Boundary value problems Differential equations, Partial Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4044779-0 |
| title | Second order equations with nonnegative characteristic form |
| title_alt | Uravnenija vtorogo porjadka s neotricatel'noj charakterističeskoj formoj |
| title_auth | Second order equations with nonnegative characteristic form |
| title_exact_search | Second order equations with nonnegative characteristic form |
| title_full | Second order equations with nonnegative characteristic form O. A. Oleǐnik and E. V. Radkevič |
| title_fullStr | Second order equations with nonnegative characteristic form O. A. Oleǐnik and E. V. Radkevič |
| title_full_unstemmed | Second order equations with nonnegative characteristic form O. A. Oleǐnik and E. V. Radkevič |
| title_short | Second order equations with nonnegative characteristic form |
| title_sort | second order equations with nonnegative characteristic form |
| topic | 03027364100 ram Equacoes Diferenciais Parciais larpcal Problèmes aux limites problème Cauchy inriac problème aux limites inriac Équations aux dérivées partielles Équations différentielles ram équation différentielle elliptique inriac équation différentielle second ordre inriac Boundary value problems Differential equations, Partial Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | 03027364100 Equacoes Diferenciais Parciais Problèmes aux limites problème Cauchy problème aux limites Équations aux dérivées partielles Équations différentielles équation différentielle elliptique équation différentielle second ordre Boundary value problems Differential equations, Partial Partielle Differentialgleichung Nichtnegative Charakteristische Form |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002364235&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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Branch Library Mathematics & Informatics
| Call Number: |
0102 MAT 355f 2001 A 26807
Floor plan |
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| Copy 1 | Available for loan On Shelf |