Differential Analysis

Graphical representation of the regularity of functions.

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


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Fall 2004



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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.

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Richard Melrose. 18.155 Differential Analysis. Fall 2004. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: Creative Commons BY-NC-SA.

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