Verfügbarkeit: Functional analysis in mechanics | Technische Universität München

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Bibliographische Detailangaben
Beteiligte Personen:	Lebedev, Leonid P. 1946- (VerfasserIn), Vorovič, Iosif I. 1920-2001 (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	New York [u.a.] Springer 2003
Schriftenreihe:	Springer monographs in mathematics
Schlagwörter:	Funktionalanalysis - Kontinuumsmechanik Functional analysis Mechanik Angewandte Mathematik Kontinuumsmechanik Funktionalanalysis Metrischer Raum Operatortheorie
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010211910&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Literaturverz. S. 231 - 233
Umfang:	XI, 238 S.
ISBN:	0387955194

Internformat

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Datensatz im Suchindex

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adam_text	L.P. LEBEDEV I.I. VOROVICH FUNCTIONAL ANALYSIS IN MECHANICS SPRINGER CONTENTS PREFACE TO THE ENGLISH EDITION V PREFACE TO THE RUSSIAN EDITION VII INTRODUCTION 1 1 METRIC SPACES 7 1.1 PRELIMINARIES 7 1.2 SOME METRIC SPACES OF FUNCTIONS 12 1.3 ENERGY SPACES 14 1.4 SETS IN A METRIC SPACE 18 1.5 CONVERGENCE IN A METRIC SPACE 18 1.6 COMPLETENESS 19 1.7 THE COMPLETION THEOREM 21 1.8 THE LEBESGUE INTEGRAL AND THE SPACE L P {Q) 23 1.9 BANACH AND HILBERT SPACES 27 1.10 SOME ENERGY SPACES 32 1.11 SOBOLEV SPACES 47 1.12 INTRODUCTION TO OPERATORS 50 1.13 CONTRACTION MAPPING PRINCIPLE 52 1.14 GENERALIZED SOLUTIONS IN MECHANICS 57 1.15 SEPARABILITY 62 1.16 COMPACTNESS, HAUSDORFF CRITERION 67 1.17 ARZELA S THEOREM AND ITS APPLICATIONS 70 CONTENTS 1.18 APPROXIMATION THEORY 76 1.19 DECOMPOSITION THEOREM, RIESZ REPRESENTATION 79 1.20 EXISTENCE OF ENERGY SOLUTIONS 83 1.21 THE PROBLEM OF ELASTICO-PLASTICITY 87 1.22 BASES AND COMPLETE SYSTEMS 94 1.23 WEAK CONVERGENCE IN A HILBERT SPACE 99 1.24 RITZ AND BUBNOV-GALERKIN METHODS 109 1.25 CURVILINEAR COORDINATES, NON-HOMOGENEOUS BOUNDARY CONDITIONS ILL 1.26 THE BRAMBLE-HILBERT LEMMA AND ITS APPLICATIONS 114 ELEMENTS OF THE THEORY OF OPERATORS 121 2.1 SPACES OF LINEAR OPERATORS 121 2.2 BANACH-STEINHAUS PRINCIPLE 124 2.3 THE INVERSE OPERATOR 126 2.4 CLOSED OPERATORS 129 2.5 THE NOTION OF ADJOINT OPERATOR 132 2.6 COMPACT OPERATORS 139 2.7 COMPACT OPERATORS IN HILBERT SPACE 144 2.8 FUNCTIONS TAKING VALUES IN A BANACH SPACE 146 2.9 SPECTRUM OF LINEAR OPERATORS 149 2.10 RESOLVENT SET OF A CLOSED LINEAR OPERATOR 152 2.11 SPECTRUM OF COMPACT OPERATORS IN HILBERT SPACE 154 2.12 ANALYTIC NATURE OF THE RESOLVENT OF A COMPACT LINEAR OPERATOR 162 2.13 SPECTRUM OF HOLOMORPHIC COMPACT OPERATOR FUNCTION . . . 164 2.14 SPECTRUM OF SELF-ADJOINT COMPACT LINEAR OPERATOR IN HILBERT SPACE 166 2.15 SOME APPLICATIONS OF SPECTRAL THEORY 171 2.16 COURANT S MINIMAX PRINCIPLE 175 ELEMENTS OF NONLINEAR FUNCTIONAL ANALYSIS 177 3.1 FRECHET AND GATEAUX DERIVATIVES 177 3.2 LIAPUNOV-SCHMIDT METHOD 182 3.3 CRITICAL POINTS OF A FUNCTIONAL 184 3.4 VON KARMAN EQUATIONS OF A PLATE 189 3.5 BUCKLING OF A THIN ELASTIC SHELL 195 3.6 EQUILIBRIUM OF ELASTIC SHALLOW SHELLS 204 3.7 DEGREE THEORY 209 3.8 STEADY-STATE FLOW OF VISCOUS LIQUID 211 CONTENTS XI APPENDIX: HINTS FOR SELECTED PROBLEMS 219 REFERENCES 231 INDEX 235
any_adam_object	1
author	Lebedev, Leonid P. 1946- Vorovič, Iosif I. 1920-2001
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author_facet	Lebedev, Leonid P. 1946- Vorovič, Iosif I. 1920-2001
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author_sort	Lebedev, Leonid P. 1946-
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dewey-full	515.7
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dewey-raw	515.7
dewey-search	515.7
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dewey-tens	510 - Mathematics
discipline	Mathematik
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indexdate	2024-12-20T11:12:36Z
institution	BVB
isbn	0387955194
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-010211910
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physical	XI, 238 S.
publishDate	2003
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publisher	Springer
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spellingShingle	Lebedev, Leonid P. 1946- Vorovič, Iosif I. 1920-2001 Functional analysis in mechanics Funktionalanalysis - Kontinuumsmechanik Functional analysis Mechanik (DE-588)4038168-7 gnd Angewandte Mathematik (DE-588)4142443-8 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Funktionalanalysis (DE-588)4018916-8 gnd Metrischer Raum (DE-588)4169745-5 gnd Operatortheorie (DE-588)4075665-8 gnd
subject_GND	(DE-588)4038168-7 (DE-588)4142443-8 (DE-588)4032296-8 (DE-588)4018916-8 (DE-588)4169745-5 (DE-588)4075665-8
title	Functional analysis in mechanics
title_auth	Functional analysis in mechanics
title_exact_search	Functional analysis in mechanics
title_full	Functional analysis in mechanics L. P. Lebedev ; I. I. Vorovich
title_fullStr	Functional analysis in mechanics L. P. Lebedev ; I. I. Vorovich
title_full_unstemmed	Functional analysis in mechanics L. P. Lebedev ; I. I. Vorovich
title_short	Functional analysis in mechanics
title_sort	functional analysis in mechanics
topic	Funktionalanalysis - Kontinuumsmechanik Functional analysis Mechanik (DE-588)4038168-7 gnd Angewandte Mathematik (DE-588)4142443-8 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Funktionalanalysis (DE-588)4018916-8 gnd Metrischer Raum (DE-588)4169745-5 gnd Operatortheorie (DE-588)4075665-8 gnd
topic_facet	Funktionalanalysis - Kontinuumsmechanik Functional analysis Mechanik Angewandte Mathematik Kontinuumsmechanik Funktionalanalysis Metrischer Raum Operatortheorie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010211910&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT lebedevleonidp functionalanalysisinmechanics AT voroviciosifi functionalanalysisinmechanics

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