Stony Brook University 3 credits MAT
Introduction to basic types of partial differential equations and techniques for studying them. First order equations; The Cauchy problem and the Cauchy-Kovalevskaya Theorem; Laplace, heat, and wave operators; Sobolev and Holder spaces; second order linear elliptic equations: weak solutions, existence and regularity theory; L^p and Schauder estimates; de Giorgi-Nash-Moser theory; introduction to nonlinear equations” 3 credits Prerequisite: MAT 549 , MAT 536 Grading Letter graded (A, A-, B+, etc.)
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