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: 6451 and 6212. Not open to students with credit for 7452.02.
Credit Hours:
3.0
Textbook
Title:
Partial Differential Equations
Edition:
2nd
Publisher:
AMS
ISBN:
9780821849743