Prof. Richard Melrose
This is the first semester of a two-semester sequence on Differential Analysis. Topics include fundamental solutions for elliptic; hyperbolic and parabolic differential operators; method of characteristics; review of Lebesgue integration; distributions; fourier transform; homogeneous distributions; asymptotic methods.
Melrose, Richard. 18.155 Differential Analysis, Fall 2004. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-155-differential-analysis-fall-2004 (Accessed). License: Creative Commons BY-NC-SA