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Graphical representation of the regularity of functions. (Image by Prof. Richard Melrose adapted from the lecture notes.)
Prof. Richard Melrose
18.155
Fall 2004
Graduate
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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