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Books > Science & Mathematics > Mathematics > Algebra
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Nonlinear Second Order Parabolic Equations (Hardcover)
Loot Price: R4,488
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Nonlinear Second Order Parabolic Equations (Hardcover)
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The parabolic partial differential equations model one of the most
important processes in the real-world: diffusion. 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. This book is self-contained
and covers key topics such as the Lp theory and Schauder theory,
maximum principle, comparison principle, regularity and uniform
estimates, initial-boundary value problems of semilinear parabolic
scalar equations and weakly coupled parabolic systems, the upper
and lower solutions method, monotone properties and long-time
behaviours of solutions, convergence of solutions and stability of
equilibrium solutions, global solutions and finite time blowup. It
also touches on periodic boundary value problems, free boundary
problems, and semigroup theory. The book covers major theories and
methods of the field, including topics that are useful but hard to
find elsewhere. This book is based on tried and tested teaching
materials used at the Harbin Institute of Technology over the past
ten years. Special care was taken to make the book suitable for
classroom teaching as well as for self-study among graduate
students. About the Author: Mingxin Wang is Professor of
Mathematics at Harbin Institute of Technology, China. He has
published ten monographs and textbooks and 260 papers. He is also a
supervisor of 30 PhD students.
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