●Preface to second edition
●Preface to first edition
●1.Introduction
●1.1.Partial differential equations
●1.2.Examples
●1.2.1.Single partial differential equatioas
●1.2.2.Systems of partial differential equations
●1.3.Strategies for studying PDE
●1.3.1， Well—posed problems， classical solutions
●1.3.2.Weak solutions and regularity
●1.3.3， Typical difficulties
●1.4.Overview
●1.5.Problems
●1.6.References
●PART Ⅰ： REPRESENTATION FORMULAS FOR SOLUTIONS
●2.Four Important Linear PDE
●2.1.Transport equation
●2.1.1.Initial—value problem
●2.1.2.Nonhomogeneous problem
●2.2.Laplace's equation
●部分目錄
