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18.155: DIFFERENTIAL ANALYSISSYLLABUS, FALL 2001RICHARD MELROSEAs of September 5.Texts(1) Partial Differential Equations: Lawrence C. Evans[1](2) The Analysis of Linear Partial Differential Operators, Vol. 1: Lars H¨ormander[2]LecturesSeptember 6 Introduction.September 11 Differentiability, Test functions, [2]§1.2.September 13 [Distributions]September 18September 20September 25September 27 [Lebesgue integration]October 2 [Lebesgue integration]October 4October 9 Columbus Day holiday.October 11 [Fundamental solutions]October 16October 18October 23 [Fourier transform]October 25October 30November 1November 6 [Wave equation]November 8November 13November 15November 20 [Laplace’s equation]November 22 ThanksgivingNovember 27November 29 [Something interesting]December 4December 6December 11 IN CLASS FINAL12 RICHARD MELROSEHomeworkI plan to hand out homework every Thursday on which there is a lecture, to bedue the next lecture (usually the next Tuesday of course).References[1] Lawrence C. Evans, Partial differential equations, American Mathematical Society, Provi-dence, RI, 1998. MR 99e:35001[2] L. H¨ormander, The analysis of linear partial differential operators, vol. 1, Springer-Verlag,Berlin, Heidelberg, New York, Tokyo, 1983.E-mail address:


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MIT 18 155 - SYLLABUS

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