Second Order Parabolic Differential Equations pdf epub mobi txt 電子書 下載2025
- parabolic
- 偏微分方程
- 拋物型方程
- 二階方程
- 數值分析
- 有限差分法
- 有限元法
- 穩定性分析
- 譜方法
- 數學物理方程
- 應用數學
具體描述
This book is an introduction to the general theory of second order parabolic differential equations, which model many important, time-dependent physical systems. It studies the existence, uniqueness, and regularity of solutions to a variety of problems with Dirichlet boundary conditions and general linear and nonlinear boundary conditions by means of a priori estimates. The first seven chapters give a description of the linear theory and are suitable for a graduate course on partial differential equations. The last eight chapters cover the nonlinear theory for smooth solutions. They include much of the author's research and are aimed at researchers in the field. A unique feature is the emphasis on time-varying domains.
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