This book deal with nonlinear parboic epuations and systems of second order in higher dimensional domains, aninly several initial-boundary value problems for nonlinear parabolic equations 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 equations are discussed in the nonilinear case and the boundary condittions include the irregualr oblique derivative case, another one is th

Preface
Chapter Ⅰ Properties of Solutions for Parabolic Equations of Second Order
1. Conditions of Linear and Nonlinear Parabolic Equations of Second Ordes
2. Exteremum Principles of Soutions for Parabolic Parabolic Equations Second Order
3. Uniqueness and Stability of Soutions for Parabolic Parabolic Equations Second Order
4. Representation Theorem and Compactness Principle of Solutions for Parabolic Equations
5. Aleksandrov-Bakel man-Pucci Type Maximum Principle
ChapterⅡ Nonlinear Parabolic Equations of Second Order With Smooth Coefficients
1. Formulation of Initial-Irregular Oblique Derivative Problem for Nonlinear Parablic Equations with Smooth Coefficients
2. Boundedness and Holder Estimates of Soolutions of InitialRegular Oblique Derivative Prblem for Eqauation(1.2)
3. Boundeness and Holder Estimates of Derivatives of Solutions of Initial-Regular Oblique Derivative Problem for Equation(1.2)
4. A Priori Estimates of Derivatives of Solutions 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 Equations of Second Order With Cordes )(Measurable)Coefficients
1. Formulation of Initial-Boundary Value Problems for Nonlinear Parabolic Equation
2. Inner Estimates of Solutions of Initial-Boundary Value Problems for Parabolic Equations
3. The Dirichlet Problem and Nuemann Problem for Nonlinear Parabolic Equations
4. Initial-Oblique Derivative Problem for Nonlinear Parabolic Equations
5. Initial-Mixed Boundary Value Problems for Nonlinear Parabolic Equations
ChapterⅥ Nonlinear Parabolic Systems of Equations Withe Cordes(Measurable)Coefficients
……
ChapterⅤ Linear and Quasilinear Parabolic Equations with VMO(measurable)Coefficients
References