
Advanced Partial Differential Equations 2
Faculty of ScienceMathematics
Description
Systems of conservation laws and Riemann invariants. Cauchy- Kowalevskaya theorem, powers series solutions. Distributions and transforms. Weak solutions; introduction to Sobolev spaces with applications. Elliptic equations, Fredholm theory and spectra of elliptic operators. Second order parabolic and hyperbolic equations. Further advanced topics may be included.
Course outline
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MATH581 has possible credit equivalents including MATH 653 at University of North Carolina at Chapel Hill.