Linear and nonlinear parabolic complex equations

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1. Verfasser: Wen, Guo-Chun (VerfasserIn)
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Sprache:English
Veröffentlicht: Singapore [u.a.] World Scientific 1999
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adam_text LINEAR AND NONLINEAR PARABOLIC COMPLEX EQUATIONS GUO CHUN WEN DEPARTMENT OF MATHEMATICS PEKING UNIVERSITY P R CHINA WORLD SCIENTIFIC SINGAPORE * NEW JERSEY * LONDON * HONG KONG CONTENTS PREFACE V I PROPERTIES OF SOLUTIONS FOR PARABOLIC COMPLEX EQUATIONS OF SECOND ORDER 1 1. COMPLEX FORMS OF LINEAR AND NONLINEAR PARABOLIC EQUATIONS OF SECOND ORDER 1 2. EXTREMUM PRINCIPLES OF SOLUTIONS FOR PARABOLIC COMPLEX EQUATIONS OF SECOND ORDER 5 3. UNIQUENESS AND STABILITY OF SOLUTIONS FOR SOME INITIAL-BOUNDARY VALUE PROBLEMS FOR PARABOLIC EQUATIONS 12 4. REPRESENTATION THEOREM AND COMPACTNESS THEOREM OF SOLUTIONS FOR PARABOLIC EQUATIONS 19 II QUASILINEAR PARABOLIC COMPLEX EQUATIONS OF SECOND ORDER WITH SMOOTH COEFFICIENTS 31 1. CONDITIONS OF QUASILINEAR PARABOLIC EQUATIONS OF SECOND ORDER 31 2. A PRIORI ESTIMATES OF SOLUTIONS OF DIRICHLET BOUNDARY VALUE PROBLEM FOR COMPLEX EQUATIONS OF SECOND ORDER 36 3. EXISTENCE OF SOLUTIONS OF DIRICHLET BOUNDARY VALUE PROBLEM FOR COMPLEX EQUATIONS OF SECOND ORDER 51 4. INITIAL-REGULAR OBLIQUE DERIVATIVE PROBLEM FOR COMPLEX EQUATIONS OF SECOND ORDER 53 III NONLINEAR PARABOLIC COMPLEX EQUATIONS OF SECOND ORDER WITH SMOOTH COEFFICIENTS 63 1. CONDITIONS OF NONLINEAR PARABOLIC COMPLEX EQUATIONS OF SECOND ORDER WITH SMOOTH COEFFICIENTS 63 2. A PRIORI ESTIMATES OF SOLUTIONS FOR THE DIRICHLET BOUNDARY VALUE PROBLEM 67 3. SOLVABILITY OF DIRICHLET BOUNDARY VALUE PROBLEM FOR COMPLEX EQUATIONS OF SECOND ORDER 87 4. INITIAL-REGULAR OBLIQUE DERIVATIVE PROBLEM FOR COMPLEX EQUATIONS OF SECOND ORDER 90 5. INITIAL-IRREGULAR OBLIQUE DERIVATIVE PROBLEM FOR COMPLEX EQUATIONS 102 VII VIII CONTENTS IV NONLINEAR PARABOLIC COMPLEX EQUATIONS OF SECOND ORDER WITH MEASURABLE COEFFICIENTS T 113 1. FORMULATION OF INITIAL-BOUNDARY VALUE PROBLEMS FOR NONLINEAR PARABOLIC EQUATIONS 113 2. INNER ESTIMATES OF SOLUTIONS FOR INITIAL-BOUNDARY VALUE PROBLEMS .. 116 3. A PRIORI ESTIMATES OF SOLUTIONS AND SOLVABILITY OF THE DIRICHLET BOUNDARY VALUE PROBLEM 126 4. A PRIORI ESTIMATES OF SOLUTIONS AND SOLVABILITY OF THE INITIAL-REGULAR OBLIQUE DERIVATIVE PROBLEM 134 5. INITIAL-MIXED BOUNDARY VALUE PROBLEM FOR PARABOLIC COMPLEX EQUATIONS OF SECOND ORDER 140 6. INITIAL-IRREGULAR OBLIQUE DERIVATIVE PROBLEMS FOR PARABOLIC EQUATIONS OF SECOND ORDER 145 V NONLINEAR PARABOLIC COMPLEX SYSTEMS OF SECOND ORDER EQUA- TIONS WITH MEASURABLE COEFFICIENTS 157 1. FORMULATION AND UNIQUENESS OF INITIAL-GENERAL BOUNDARY VALUE PROBLEMS FOR NONLINEAR PARABOLIC SYSTEMS 157 2. THE FIRST BOUNDARY VALUE PROBLEM FOR PARABOLIC SYSTEMS OF SECOND OR- DER EQUATIONS 163 3. INITIAL-REGULAR OBLIQUE DERIVATIVE PROBLEMS FOR PARABOLIC SYSTEMS OF SEC- OND ORDER EQUATIONS 171 4. INITIAL-IRREGULAR OBLIQUE DERIVATIVE PROBLEMS FOR PARABOLIC SYSTEMS OF SECOND ORDER EQUATIONS 179 5. INITIAL-MIXED BOUNDARY VALUE PROBLEMS FOR PARABOLIC SYSTEMS OF SECOND ORDER EQUATIONS 190 VI- CAUCHY PROBLEMS FOR NONLINEAR PARABOLIC EQUATIONS AND SYS- TEMS OF SECOND ORDER 199 1. CAUCHY PROBLEM FOR NONLINEAR PARABOLIC EQUATIONS OF SECOND ORDER WITH MEASURABLE COEFFICIENTS 199 2. CAUCHY PROBLEM FOR NONLINEAR PARABOLIC SYSTEMS OF SECOND ORDER EQUA- TIONS WITH MEASURABLE COEFFICIENTS 205 CONTENTS IX 3. CAUCHY PROBLEM FOR QUASILINEAR PARABOLIC EQUATIONS OF SECOND ORDER WITH SMOOTH COEFFICIENTS 211 4. CAUCHY PROBLEM FOR QUASILINEAR PARABOLIC SYSTEMS OF SECOND ORDER EQUATIONS WITH SMOOTH COEFFICIENTS 220 REFERENCES . 229 INDEX 241
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author Wen, Guo-Chun
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spelling Wen, Guo-Chun Verfasser aut
Linear and nonlinear parabolic complex equations Guo Chun Wen
Singapore [u.a.] World Scientific 1999
IX, 246 S.
txt rdacontent
n rdamedia
nc rdacarrier
EQUAÇÕES DIFERENCIAIS PARCIAIS PARABÓLICAS (ANÁLISE NUMÉRICA) larpcal
Differential equations, Parabolic
Functions of complex variables
Parabolische Differentialgleichung (DE-588)4173245-5 gnd rswk-swf
Komplexe Differentialgleichung (DE-588)4161117-2 gnd rswk-swf
Parabolische Differentialgleichung (DE-588)4173245-5 s
Komplexe Differentialgleichung (DE-588)4161117-2 s
DE-604
GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009056039&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle Wen, Guo-Chun
Linear and nonlinear parabolic complex equations
EQUAÇÕES DIFERENCIAIS PARCIAIS PARABÓLICAS (ANÁLISE NUMÉRICA) larpcal
Differential equations, Parabolic
Functions of complex variables
Parabolische Differentialgleichung (DE-588)4173245-5 gnd
Komplexe Differentialgleichung (DE-588)4161117-2 gnd
subject_GND (DE-588)4173245-5
(DE-588)4161117-2
title Linear and nonlinear parabolic complex equations
title_auth Linear and nonlinear parabolic complex equations
title_exact_search Linear and nonlinear parabolic complex equations
title_full Linear and nonlinear parabolic complex equations Guo Chun Wen
title_fullStr Linear and nonlinear parabolic complex equations Guo Chun Wen
title_full_unstemmed Linear and nonlinear parabolic complex equations Guo Chun Wen
title_short Linear and nonlinear parabolic complex equations
title_sort linear and nonlinear parabolic complex equations
topic EQUAÇÕES DIFERENCIAIS PARCIAIS PARABÓLICAS (ANÁLISE NUMÉRICA) larpcal
Differential equations, Parabolic
Functions of complex variables
Parabolische Differentialgleichung (DE-588)4173245-5 gnd
Komplexe Differentialgleichung (DE-588)4161117-2 gnd
topic_facet EQUAÇÕES DIFERENCIAIS PARCIAIS PARABÓLICAS (ANÁLISE NUMÉRICA)
Differential equations, Parabolic
Functions of complex variables
Parabolische Differentialgleichung
Komplexe Differentialgleichung
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009056039&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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