Variational principles for nonpotential operators:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Russian |
| Veröffentlicht: |
Providence, R.I.
American Math. Society
1989
|
| Schriftenreihe: | Translations of mathematical monographs
77 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus d. Russ. übers. |
| Beschreibung: | XIII, 239 S. |
| ISBN: | 0821845292 |
Internformat
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| 240 | 1 | 0 | |a Variacionnye principy dlja nepotencial'nych operatorov |
| 245 | 1 | 0 | |a Variational principles for nonpotential operators |
| 264 | 1 | |a Providence, R.I. |b American Math. Society |c 1989 | |
| 300 | |a XIII, 239 S. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Translations of mathematical monographs |v 77 | |
| 500 | |a Aus d. Russ. übers. | ||
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| 650 | 7 | |a Opérateurs non linéaires |2 ram | |
| 650 | 4 | |a Principes variationnels | |
| 650 | 7 | |a Principes variationnels |2 ram | |
| 650 | 4 | |a Équations aux dérivées partielles | |
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 4 | |a Nonlinear operators | |
| 650 | 4 | |a Variational principles | |
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Datensatz im Suchindex
| _version_ | 1804117110408871936 |
|---|---|
| adam_text | Contents
Preface vii
Notation and Terminology xi
Introduction 1
CHAPTER I. Variational Problems for Linear Equations with
5 Symmetric and fi Positive Operators 7
§ 1. Definitions and properties of operators symmetric and
positive in a generalized sense 7
§2. Extensions of operators in the sense of Sobolev and
Friedrichs 15
§3. The generalized space of Friedrichs 19
§4. The variational problem for equations with a 5 symmetric
and /^ positive operator 22
§5. Dual variational principles for nonselfadjoint equations 31
Commentary to Chapter I 33
CHAPTER II. Classes of Functional and Function Spaces 45
§6. The role of classes of functional for the variational method 45
§7. On a class of functional depending on linear operators 51
§8. On a quasiclassical solution of the inverse problem of the
calculus of variations for linear differential equations 61
§9. The function spaces S^WpiO) 67
§ 10. Spaces of differentiate functions over 5a~ Vp(Q) 80
Commentary to Chapter II 88
CHAPTER III. Construction and Investigation of Variational
Principles for Linear Boundary Value Problems 91
§11. On various formulations of the inverse problem of the
calculus of variations and some solutions of it 91
V
vi CONTENTS
§12. A variational method for solving parabolic problems 107
§13. The principle of a minimum of a quadratic functional for
the wave equation 124
§14. A variational principle for hypoelliptic PDE with constant
coefficients 133
§15. Symmetrization of some nonclassical PDE 139
§ 16. A variational principle constructed on the basis of a priori
estimates in negative spaces 146
Commentary to Chapter III 162
CHAPTER IV. Variational Principles for Nonlinear Equations 168
§17. On the inverse problem of the calculus of variations for
nonlinear equations 168
§18. A variational method of solving nonlinear equations with
nonpotential operators 182
Commentary to Chapter IV 198
Appendix 203
Bibliography 215
|
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| id | DE-604.BV002757697 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:49:11Z |
| institution | BVB |
| isbn | 0821845292 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001762847 |
| oclc_num | 19671171 |
| open_access_boolean | |
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| owner_facet | DE-12 DE-384 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-703 DE-824 DE-83 DE-11 DE-188 |
| physical | XIII, 239 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | American Math. Society |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Filippov, Vladimir M. Verfasser aut Variacionnye principy dlja nepotencial'nych operatorov Variational principles for nonpotential operators Providence, R.I. American Math. Society 1989 XIII, 239 S. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 77 Aus d. Russ. übers. Equations aux dérivées partielles ram Opérateurs non linéaires Opérateurs non linéaires ram Principes variationnels Principes variationnels ram Équations aux dérivées partielles Differential equations, Partial Nonlinear operators Variational principles Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Nichtlinearer Operator (DE-588)4225824-8 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Nichtlinearer Operator (DE-588)4225824-8 s Variationsrechnung (DE-588)4062355-5 s DE-604 Translations of mathematical monographs 77 (DE-604)BV000002394 77 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001762847&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Filippov, Vladimir M. Variational principles for nonpotential operators Translations of mathematical monographs Equations aux dérivées partielles ram Opérateurs non linéaires Opérateurs non linéaires ram Principes variationnels Principes variationnels ram Équations aux dérivées partielles Differential equations, Partial Nonlinear operators Variational principles Variationsrechnung (DE-588)4062355-5 gnd Nichtlinearer Operator (DE-588)4225824-8 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4062355-5 (DE-588)4225824-8 (DE-588)4044779-0 |
| title | Variational principles for nonpotential operators |
| title_alt | Variacionnye principy dlja nepotencial'nych operatorov |
| title_auth | Variational principles for nonpotential operators |
| title_exact_search | Variational principles for nonpotential operators |
| title_full | Variational principles for nonpotential operators |
| title_fullStr | Variational principles for nonpotential operators |
| title_full_unstemmed | Variational principles for nonpotential operators |
| title_short | Variational principles for nonpotential operators |
| title_sort | variational principles for nonpotential operators |
| topic | Equations aux dérivées partielles ram Opérateurs non linéaires Opérateurs non linéaires ram Principes variationnels Principes variationnels ram Équations aux dérivées partielles Differential equations, Partial Nonlinear operators Variational principles Variationsrechnung (DE-588)4062355-5 gnd Nichtlinearer Operator (DE-588)4225824-8 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Equations aux dérivées partielles Opérateurs non linéaires Principes variationnels Équations aux dérivées partielles Differential equations, Partial Nonlinear operators Variational principles Variationsrechnung Nichtlinearer Operator Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001762847&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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