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Partial Differential Equations II

MATH 7452.02: Partial Differential Equations II

Sobolev spaces, Sobolev inequalities and embedding theorems; Lax-Milgram theorem, Fredholm alternatives, weak compactness; linear elliptic equations: existence, regularity, maximum principles; hyperbolic equations; first order hyperbolic systems.
Prereq: Post-candidacy in Math, and permission of instructor. This course is graded S/U.
Credit Hours