偏微分方程（二）

Abstract

課程首頁

本課程是由交通大學應用數學系提供。

This is the continuous course of Partial Differential Equations (I).This is the GRADUATE level partial differential equation. We will focus on the relation between mathematics and physics and show the students how to understand PDEs intuitively.

課程目標 本課程屬研究所程度的微分方程課程，授課偏重於數學與物理間的連結，並且讓學生藉由此課程了解直觀地PDE概念。

課程章節

章節

章節內容

第五章 Hyperbolic Equations in Higher Dimensions

第六章 Higher-Order Elliptic Equations with Constant Coefficients

第七章 Parabolic Equations

第八章 H. Lewys Example of a Linear Equation without Solutions

課程書目

Fritz John, Partial Differential Equations (4th Edition), Applied Mathematical Sciences Vol.1 Springer-Verlag 1982. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, 1983.

評分標準

項目 百分比

平時作業 60%

期中報告 20%

期末報告 20%

授課對象：研究所學生

預備知識：Calculus, Advanced Calculus, Linear Algebra, Ordinary differential equation, Complex Analysis and Real analysis