國立清華大學 數學系

Lecture 1: May 23, 2016 (Mon) 10:00am-12:00pm Lecture 2: May 30, 2016 (Mon) 10:00am-12:00pm Lecture 3: June 06, 2016 (Mon) 10:00am-12:00pm Lecture 4: June 20, 2016 (Mon) 10:00am-12:00pm Lecture 5: June 27, 2016 (Mon) 10:00am-12:00pm Lecture 6: July 04, 2016 (Mon) 10:00am-12:00pm Course Description: Fourier transform is known as one of the most powerful and useful methods for finding fundamental solutions of operators with constant coefficients. However, in the general case this method has its own limitations. This lecture series presents several other methods that can be used concurrently with the Fourier transform method to obtain heat kernels for elliptic and sub-elliptic operators. Some methods come from stochastic processes, others stem from geometric mechanics, and others are purely mathematical. The main objective of this lecture series  is to discuss recent results in these areas. We will also contains many examples which will better facilitate understanding.