18.155 | Fall 2004 | Graduate

Differential Analysis

Course Description

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.
Learning Resource Types
Lecture Notes
Problem Sets with Solutions
Graphical representation of the regularity of functions.
Graphical representation of the regularity of functions. (Image by Prof. Richard Melrose adapted from the lecture notes.)