Verfügbarkeit: Elliptic and parabolic equations with discontinuous coefficients

Elliptic and parabolic equations with discontinuous coefficients:

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Bibliographische Detailangaben
Hauptverfasser:	Maugeri, Antonino 1940- (VerfasserIn), Palagačev, Dian K. (VerfasserIn), Softova, Lubomira G. (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Berlin [u.a.] Wiley-VCH 2000
Ausgabe:	1. ed.
Schriftenreihe:	Mathematical research 109
Schlagworte:	Differential equations, Elliptic Differential equations, Parabolic Discontinuous functions Regularität Unstetige Funktion Lösung > Mathematik Elliptische Differentialgleichung Randwertproblem Unstetige Koeffizienten Ordnung 2 Koeffizient Parabolische Differentialgleichung
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	256 S.
ISBN:	3527401350

Internformat

MARC


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Datensatz im Suchindex

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adam_text	ELLIPTIC AND PARABOLIC EQUATIONS WITH DISCONTINUOUS COEFFICIENTS ANTONINO MAUGERI DIAN K. PALAGACHEV LUBOMIRA G. SOFTOVA WILEY-VCH BERLIN * WEINHEIM * NEW YORK * CHICHESTER BRISBANE * SINGAPORE * TORONTO CONTENTS INTRODUCTION 11 CHAPTER 1. BOUNDARY VALUE PROBLEMS FOR LINEAR OPERATORS WITH DIS- CONTINUOUS COEFFICIENTS 15 1.1. EXAMPLES OF NONSOLVABLE BVPS FOR LINEAR OPERATORS WITH DISCONTIN- UOUS COEFFICIENTS 15 1.2. THE CORDES CONDITION 19 1.2.1. SOLVAHILITY IN W 2 P (UE),P [2,PO), PO 2 22 1.2.2. REGULARITY IN MORREY SPACES 23 1.2.3. HIGHER SUMMABILITY OF THE FIRST DERIVATIVES 28 1.3. OPERATORS WITH SOBOLEV COEFFICIENTS 34 1.4. MIRANDA-TALENTI ESTIMATE 39 1.5. ELLIPTIC EQUATIONS IN THE PLANE 46 1.5.1. DIRICHLET PROBLEM 46 1.5.2. OBLIQUE DERIVATIVE PROBLEM 48 1.6. CAUCHY-DIRICHLET PROBLEM FOR PARABOLIC OPERATORS 57 1.6.1. THE PARABOLIC CORDES CONDITION 57 1.6.2. A LOCAL REGULARITY RESULT IN MORREY SPACES 63 1.6.3. HIGHER SUMMABILITY OF THE DERIVATIVES 70 1.6.4. PARABOLIC OPERATORS WITH SOBOLEV COEFFICIENTS 77 1.7. OBLIQUE DERIVATIVE PROBLEM FOR PARABOLIC OPERATORS WITH MEASURABLE COEFFICIENTS 83 1.7.1. THE CASE OF TWO SPATIAL VARIABLES 83 1.7.2. MULTIDIMENSIONAL PROBLEMS 89 1.8. ELLIPTIC OBLIQUE DERIVATIVE PROBLEMS 92 1.8.1. OPERATORS WITH MEASURABLE COEFFICIENTS 92 1.8.2. OPERATORS WITH SOBOLEV COEFFICIENTS 100 CHAPTER 2. LINEAR AND QUASILINEAR OPERATORS WITH VMO COEFFICIENTS 103 2.1. PRELIMINARIES AND AUXILIARY RESULTS 105 2.1.1. THE ELLIPTIC CASE 105 2.1.2. THE PARABOLIC CASE 113 2.2. REGULAER OBLIQUE DERIVATIVE PROBLEM * A SPECIAL CASE 116 2.2.1. AN EXTENSION LEMMA 118 10 CONTENTS 2.2.2. BOUNDARY REPRESENTATION FORMULA 122 2.2.3. BOUNDARY A PRIORI ESTIMATE 125 2.2.4. GLOBAL SOBOLEV REGULARITY AND SOLVABILITY 132 2.3. REGULAER OBLIQUE DERIVATIVE PROBLEM * THE GENERAL CASE 135 2.3.1. GLOBAL A PRIORI ESTIMATE 136 2.3.2. UNIQUENESS CRITERIONS 139 2.3.3. STRANG SOLVABILITY 140 2.4. SINGULAR OBLIQUE DERIVATIVE PROBLEM 142 2.4.1. HIGHER SOBOLEV REGULARITY 144 2.4.2. PROOFOF THEOREM 2.4.1 149 2.5. PARABOLIC OBLIQUE DERIVATIVE PROBLEM 153 2.5.1. SMALL TIME REPRESENTATION FORMULA FOR THE SOLUTION 156 2.5.2. W^IQR) A PRIORI ESTIMATE 160 2.5.3. UNIQUE SOLVABILITY 164 2.6. QUASILINEAR OPERATORS WITH VMO COEFFICIENTS 165 2.6.1. A PRIORI ESTIMATES 167 2.6.2. SOLVABILITY OF THE QUASILINEAR PROBLEM 173 CHAPTER 3. NONLINEAR OPERATORS WITH DISCONTINUOUS COEFFLCIENTS 177 3.1. NONLINEAR CORDES CONDITION 177 3.1.1. CAMPANATO S (A 2 ) CONDITION 177 3.1.2. THE THEORY OF NEAR MAPPINGS 183 3.1.3. NEAR OPERATORS IN HUBERT SPACES 186 3.2. NONLINEAR ELLIPTIC SYSTEMS 188 3.2.1. NONLINEAR OPERATORS AND NEAR MAPPINGS 188 3.2.2. A THEOREM ON LOCAL SOLVABILITY 192 3.2.3. DIRICHLET PROBLEM FOR NONLINEAR ELLIPTIC EQUATIONS IN THE PLANE 193 3.2.4. OTHER BOUNDARY CONDITIONS 205 3.2.5. REGULARITY THEORY. HIGHER INTEGRABILITY AND HOLDER CONTINUITY 206 3.3. PARABOLIC SYSTEMS 217 3.3.1. STRONG SOLVABILITY RESULTS 217 3.3.2. REGULARITY THEORY. HIGHER INTEGRABILITY OF D 2 U AND D T U . . . 220 3.3.3. BASIC PARABOLIC OPERATORS. HOLDER CONTINUITY 223 APPENDIX 235 A.L. FUNCTIONAL AND REAL ANALYSIS TOOLS 235 A.2. MAXIMUM PRINCIPLES 237 BIBLIOGRAPHY 241 INDEX 253 FUNCTIONAL SPACES AND THEIR RESPECTIVE NORMS 255
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author	Maugeri, Antonino 1940- Palagačev, Dian K. Softova, Lubomira G.
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series	Mathematical research
series2	Mathematical research
spelling	Maugeri, Antonino 1940- Verfasser (DE-588)1159527296 aut Elliptic and parabolic equations with discontinuous coefficients Antonino Maugeri ; Dian K. Palagachev ; Lubomira G. Softova 1. ed. Berlin [u.a.] Wiley-VCH 2000 256 S. txt rdacontent n rdamedia nc rdacarrier Mathematical research 109 Differential equations, Elliptic Differential equations, Parabolic Discontinuous functions Regularität (DE-588)4049074-9 gnd rswk-swf Unstetige Funktion (DE-588)4186960-6 gnd rswk-swf Lösung Mathematik (DE-588)4120678-2 gnd rswk-swf Elliptische Differentialgleichung (DE-588)4014485-9 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Unstetige Koeffizienten (DE-588)4642255-9 gnd rswk-swf Ordnung 2 (DE-588)4350619-7 gnd rswk-swf Koeffizient (DE-588)4385197-6 gnd rswk-swf Parabolische Differentialgleichung (DE-588)4173245-5 gnd rswk-swf Parabolische Differentialgleichung (DE-588)4173245-5 s Ordnung 2 (DE-588)4350619-7 s Unstetige Koeffizienten (DE-588)4642255-9 s Randwertproblem (DE-588)4048395-2 s Lösung Mathematik (DE-588)4120678-2 s Regularität (DE-588)4049074-9 s DE-604 Elliptische Differentialgleichung (DE-588)4014485-9 s Unstetige Funktion (DE-588)4186960-6 s 1\p DE-604 Koeffizient (DE-588)4385197-6 s 2\p DE-604 Palagačev, Dian K. Verfasser (DE-588)1116975548 aut Softova, Lubomira G. Verfasser aut Mathematical research 109 (DE-604)BV000008585 109 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008890297&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Maugeri, Antonino 1940- Palagačev, Dian K. Softova, Lubomira G. Elliptic and parabolic equations with discontinuous coefficients Mathematical research Differential equations, Elliptic Differential equations, Parabolic Discontinuous functions Regularität (DE-588)4049074-9 gnd Unstetige Funktion (DE-588)4186960-6 gnd Lösung Mathematik (DE-588)4120678-2 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Randwertproblem (DE-588)4048395-2 gnd Unstetige Koeffizienten (DE-588)4642255-9 gnd Ordnung 2 (DE-588)4350619-7 gnd Koeffizient (DE-588)4385197-6 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd
subject_GND	(DE-588)4049074-9 (DE-588)4186960-6 (DE-588)4120678-2 (DE-588)4014485-9 (DE-588)4048395-2 (DE-588)4642255-9 (DE-588)4350619-7 (DE-588)4385197-6 (DE-588)4173245-5
title	Elliptic and parabolic equations with discontinuous coefficients
title_auth	Elliptic and parabolic equations with discontinuous coefficients
title_exact_search	Elliptic and parabolic equations with discontinuous coefficients
title_full	Elliptic and parabolic equations with discontinuous coefficients Antonino Maugeri ; Dian K. Palagachev ; Lubomira G. Softova
title_fullStr	Elliptic and parabolic equations with discontinuous coefficients Antonino Maugeri ; Dian K. Palagachev ; Lubomira G. Softova
title_full_unstemmed	Elliptic and parabolic equations with discontinuous coefficients Antonino Maugeri ; Dian K. Palagachev ; Lubomira G. Softova
title_short	Elliptic and parabolic equations with discontinuous coefficients
title_sort	elliptic and parabolic equations with discontinuous coefficients
topic	Differential equations, Elliptic Differential equations, Parabolic Discontinuous functions Regularität (DE-588)4049074-9 gnd Unstetige Funktion (DE-588)4186960-6 gnd Lösung Mathematik (DE-588)4120678-2 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Randwertproblem (DE-588)4048395-2 gnd Unstetige Koeffizienten (DE-588)4642255-9 gnd Ordnung 2 (DE-588)4350619-7 gnd Koeffizient (DE-588)4385197-6 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd
topic_facet	Differential equations, Elliptic Differential equations, Parabolic Discontinuous functions Regularität Unstetige Funktion Lösung Mathematik Elliptische Differentialgleichung Randwertproblem Unstetige Koeffizienten Ordnung 2 Koeffizient Parabolische Differentialgleichung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008890297&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000008585
work_keys_str_mv	AT maugeriantonino ellipticandparabolicequationswithdiscontinuouscoefficients AT palagacevdiank ellipticandparabolicequationswithdiscontinuouscoefficients AT softovalubomirag ellipticandparabolicequationswithdiscontinuouscoefficients

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