一、課程說明(Course Description)
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