Second Order Parabolic Differential Equations pdf epub mobi txt 电子书 下载 2025
- parabolic
- 偏微分方程
- 抛物型方程
- 二阶方程
- 数值分析
- 有限差分法
- 有限元法
- 稳定性分析
- 谱方法
- 数学物理方程
- 应用数学
具体描述
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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