Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems

Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems

CRC Press

This book is devoted to the global existence, uniqueness and asymptotic behaviour of smooth solutions to nonlinear parabolic equations and nonlinear hyperbolic-parabolic coupled systems for both small and large initial data. It presents concepts and facts about Sobolev space. > This monograph is devoted to the global existence, uniqueness and asymptotic behaviour of smooth solutions to both initial value problems and initial boundary value problems for nonlinear parabolic equations and hyperbolic parabolic coupled systems. Most of the material is based on recent research carried out by the author and his collaborators.The book can be divided into two parts. In the first part, the results on decay of solutions to nonlinear parabolic equations and hyperbolic parabolic coupled systems are obtained, and a chapter is devoted to the global existence of small smooth solutions to fully nonlinear parabolic equations and quasilinear hyperbolic parabolic coupled systems. Applications of the r

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