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18.155 Differential analysis, Fall 2002

Graphical representation of the regularity of functions.
Graphical representation of the regularity of functions.  (Image by Prof. Richard Melrose adapted from the lecture notes.)

Highlights of this Course

This is the first semester of a two-semester sequence on Differential Analysis. The site features a complete and detailed set of lecture notes, along with problem sets.

Course Description

Fundamental solutions for elliptic, hyperbolic and parabolic differential operators. Method of characteristics. Review of Lebesgue integration. Distributions. Fourier transform. Homogeneous distributions. Asymptotic methods.

Staff

Instructor:
Prof. Richard B. Melrose

Course Meeting Times

Lectures:
Two sessions / week
1 hour / session

Level

Graduate

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