In this course, we shall study linear and nonlinear PDE. Linear PDE contains Laplace equations, Heat equations and Wave equations. Nonlinear PDE contains parabolic PDE especially Reaction-Diffusion equations, Conservation law etc.

Theory of linear PDE ,like Sobolov spaces and apriori estimates will be discussed.

二、指定用書(Text Books)

Lawrence C. Evans: Partial Differential Equations, American Mathematical Society , 1998.

三、參考書籍(References)

F. John: Partial Differential Equations. 4th Edition.

Garabedian: Partial Differential Equations.

Friz John: Partial Differential Equations

Walter Strauss: Partial Differential Equations.

四、教學方式(Teaching Method)

課堂講授及演算

五、教學進度(Syllabus)

Part I :

(1) Linear PDE: Laplace equations,Heat equations, Wave equations

(2)Nonlinear first order PDE

(3) Second order elliptic equations

六、成績考核(Evaluation)

Homework 30%

Midterm Exam. 35%

Final Exam. 35%

七、可連結之網頁位址