Verfügbarkeit: Linear differential equations of principal type

Linear differential equations of principal type:

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Bibliographische Detailangaben
Beteilige Person:	Egorov, Jurij V. 1938- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	New York u.a. Consulatants Bureau 1986
Schriftenreihe:	Contemporary Soviet mathematics
Schlagwörter:	Lineare Differentialgleichung Partielle Differentialgleichung
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000465094&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	EST: Linejnye differencial'nye uravnenija glavnogo tipa <engl.>. - Aus d. Russ. übers.
Umfang:	VII, 301 S.
ISBN:	0306109921

Internformat

MARC


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Datensatz im Suchindex

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adam_text	CONTENTS INTRODUCTION 1 CHAPTER I Distribution Theory 9 Â§1. Definitions and basic properties of distributions 9 Â§2. Fourier transforms and convolution of distributions 16 5 3. Sobolev spaces 20 Â§4. Differential operators with constant coefficients 27 Â§5. Distributions on manifolds 36 CHAPTER II Pseudo Differential Operators 43 Â§1. Singular integral operators 43 Â§2. Definitions and basic properties of pseudo differential operators 46 Â§3. Elliptic pseudo differential operators 57 Â§4. Canonical transformations 66 Â§5. Garding s inequality 85 Â§6. Generalizations 90 Â§7. A class of pseudo differential operators 92 CHAPTER III Boundary Problems for Elliptic Equations 97 51. Equations with constant coefficients in a half space 97 Â§2. Boundary problems for equations with variable coefficients 101 Â§3. Reduction of a boundary problem to a pseudo differential equation 104 CHAPTER IV The Oblique Derivative Problem 107 51. Statement of the problem. Examples 107 Â§2. Auxiliary constructions 109 Â§3. Manifolds of class I Ill Â§4. Manifolds of class II 122 Â§5. Manifolds of class III 126 CHAPTER V Wave Front Sets. Fourier Integral Operators 131 51. Wave front sets. Definition and examples 131 Â§2. Basic properties of a wave front set 133 Â§3. Another approach to the study of wave fronts 135 Â§4. Wave front sets and mappings 137 Â§5. Wave front set and Fourier integral operators 142 Â§6. Propagation of singularities. Solvability of equations of principal type with a real valued principal symbol 146 v vi CONTENTS CHAPTER VI Necessary Conditions for Local Solvability. 151 Â§1. Examples 151 Â§2. HBrmander s theorem , 152 Â§3. Finite order zero theorem 160 Â§4. Structure of the symbol 166 Â§5. Infinite order zero theorem 174 CHAPTER VII Sufficient Conditions for Local Solvability. 183 Â§ 1. Review of results 183 Â§2. Reduction to first order operators 186 Â§3. Proof of Theorem 2.1 190 CHAPTER VIII Subelliptic Operators 195 Â§1. Definitions and basic properties 195 Â§2. Localization of estimates 201 Â§3. Necessary conditions for subellipticity 204 Â§4. Estimates for differential operators of the first class 207 Â§5. Sufficient conditions for subellipticity 226 Â§6. Canonical transformations and partition of unity 246 Â§7. Applications to the oblique derivative problem 250 Â§8. Applications to the 3 Neumann problem 252 CHAPTER IX The Cauchy Problem 259 51. Statement of the problem 259 Â§2. Kovalevsky theorem 260 Â§3. Hyperbolic equations 264 Â§4. Carleman estimates 270 Â§5. Calderon s theorem 272 COMMENTS 281 BIBLIOGRAPHY 285
any_adam_object	1
author	Egorov, Jurij V. 1938-
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dewey-search	515.354
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dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
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illustrated	Not Illustrated
indexdate	2024-12-20T07:26:00Z
institution	BVB
isbn	0306109921
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-000465094
oclc_num	246888668
open_access_boolean
owner	DE-12 DE-91G DE-BY-TUM DE-824 DE-706 DE-188
owner_facet	DE-12 DE-91G DE-BY-TUM DE-824 DE-706 DE-188
physical	VII, 301 S.
publishDate	1986
publishDateSearch	1986
publishDateSort	1986
publisher	Consulatants Bureau
record_format	marc
series2	Contemporary Soviet mathematics
spellingShingle	Egorov, Jurij V. 1938- Linear differential equations of principal type Lineare Differentialgleichung Lineare Differentialgleichung (DE-588)4206889-7 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd
subject_GND	(DE-588)4206889-7 (DE-588)4044779-0
title	Linear differential equations of principal type
title_auth	Linear differential equations of principal type
title_exact_search	Linear differential equations of principal type
title_full	Linear differential equations of principal type Yu. V. Egorov
title_fullStr	Linear differential equations of principal type Yu. V. Egorov
title_full_unstemmed	Linear differential equations of principal type Yu. V. Egorov
title_short	Linear differential equations of principal type
title_sort	linear differential equations of principal type
topic	Lineare Differentialgleichung Lineare Differentialgleichung (DE-588)4206889-7 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd
topic_facet	Lineare Differentialgleichung Partielle Differentialgleichung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000465094&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT egorovjurijv lineardifferentialequationsofprincipaltype

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