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Nov 22, 2024
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MATH 841 - Differential Equations II Credits: 3
Where PDEs come from. Initial and boundary-value problems. A crash course in distribution theory: different spaces of distributions, Fourier and Laplace transformations of distributions, Sobolev spaces. The Poisson equation in bounded and in exterior domains; properties of solutions of elliptic equations. The classical evolution equations revisited. Energy estimates, existence and uniqueness theorems, regularity and other properties of solutions. Simple examples of nonlinear PDEs.
Repeat for Credit Y
Requisites: Prerequisite: MATH 840.
Typically Offered Spring
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