Nonlinear Second Order Parabolic Equations
Nonlinear Second Order Parabolic Equations by Mingxin Wang, published by CRC Press in 2021, is a graduate textbook comprising 288 pages. This edition presents a comprehensive overview of parabolic partial differential equations, which are essential for modeling various diffusion processes in nature, including energy, species, chemicals, and information. The author begins with classical parabolic problems and foundational methods, guiding students into the study of second order nonlinear parabolic equations.
Readers will find a thorough exploration of key topics such as Schauder theory, the maximum principle, and the comparison principle. The book also addresses periodic boundary value problems, free boundary problems, and semigroup theory, making it a valuable resource for both classroom instruction and self-study. Drawing on over a decade of teaching experience at the Harbin Institute of Technology, this text is designed to support graduate students in their understanding of advanced mathematical concepts related to differential equations and functional analysis.
Official synopsis Publisher
“The parabolic partial differential equations model is one of the most important processes in the process of diffusion in nature. Whether it is the diffusion of energy in space-time, the diffusion of species in ecology, the diffusion of chemicals in biochemical processes, or the diffusion of information in social networks, diffusion processes are ubiquitous and crucial in the physical and natural world as well as our everyday lives. In this graduate textbook, the author starts with classical parabolic problems as well as basic methods and techniques to guide students into the field of second order nonlinear parabolic equations. The author then moves on to discuss key topics such as theory and Schauder theory, the maximum principle and the comparison principle. Topics additionally discussed include periodic boundary value problems, free boundary problems, and semigroup theory. This book is based on tried and tested teaching materials used at the Harbin Institute of Technology over the past 10 years. Special care is taken to make the book suitable for classroom teaching as well as for self-study among graduate students”–
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