Initial-Boundary Value Problems for Nonlinear Parabolic Equati*** in Higher Dimensional Domains pdf 夸克云 tct umd 下载 2025 azw3 kindle

This book deal with nonlinear parboic epuati*** and systems of second order in higher dimensional domains, aninly several initial-boundary value problems for nonlinear parabolic equati*** and systems of second order equatiohns with smooth coefficents or measurable coefficients are dixcussed. There are two characteristics of this booku. One is that parabolic equati*** are discussed in the nonilinear case and the boundary conditti*** include the irregualr oblique derivative case, another one is that boundary value problems are almost c***icered in the case of multiply connected domains and several met***ds anr used. This booku can be refered to the graduate students, researchers in partial differential equati*** and function theory at universites and institutes.

Preface

Chapter Ⅰ Properties of Soluti*** for Parabolic Equati*** of Second Order

1. Conditi*** of Linear and Nonlinear Parabolic Equati*** of Second Ordes

2. Exteremum Principles of Souti*** for Parabolic Parabolic Equati*** Second Order

3. Uniqueness and Stability of Souti*** for Parabolic Parabolic Equati*** Second Order

4. Representation Theorem and Compactness Principle of Soluti*** for Parabolic Equati***

5. Aleksandrov-Bakel man-Pucci Type Maximum Principle

ChapterⅡ Nonlinear Parabolic Equati*** of Second Order With Smooth Coefficients

1. Formulation of Initial-Irregular Oblique Derivative Problem for Nonlinear Parablic Equati*** with Smooth Coefficients

2. Boundedness and Holder Estimates of Sooluti*** of InitialRegular Oblique Derivative Prblem for Eqauation(1.2)

3. Boundeness and Holder Estimates of Derivatives of Soluti*** of Initial-Regular Oblique Derivative Problem for Equation(1.2)

4. A Priori Estimates of Derivatives of Soluti*** of Intial-Irregular Oblique Derivative Problem for Equation(1.2)

5. Solvability of the Initial-Irregular Oblique Derivative Problem for Equation(1.2)

ChapterⅢ Nonlinear Parabolic Equati*** of Second Order With Cordes )(Measurable)Coefficients

1. Formulation of Initial-Boundary Value Problems for Nonlinear Parabolic Equation

2. Inner Estimates of Soluti*** of Initial-Boundary Value Problems for Parabolic Equati***

3. The Dirichlet Problem and Nuemann Problem for Nonlinear Parabolic Equati***

4. Initial-Oblique Derivative Problem for Nonlinear Parabolic Equati***

5. Initial-Mixed Boundary Value Problems for Nonlinear Parabolic Equati***

ChapterⅥ Nonlinear Parabolic Systems of Equati*** Withe Cordes(Measurable)Coefficients

……

ChapterⅤ Linear and Quasilinear Parabolic Equati*** with VMO(measurable)Coefficients

References

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《非线形抛物线方程在高维区域中的初:边值问题(英文版)》：This book deals with nonlinear parabolic equati*** and systems of second order in higher dimensional domains, mainly several initial-boundary value problems for nonlinear parabolic equati*** and systems of second order equati*** with smooth coefficients or measuxrable coefficients are discussed. There are two characteristics of this book. One is that parabolic equati*** are discussed in the nonlinear case and the boundary conditi*** include the irregular oblique derivative case, another one is that boundary value problems are almost c***idered in the case of multiply connected domains and several methods are used. This book can be refered to the graduate students, reseachers in partial differential equati*** and function theory at universities and institutes.