Feb 21, 2024  
2021-2022 Graduate Catalog 
2021-2022 Graduate Catalog [ARCHIVED CATALOG]

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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.

Prerequisite: MATH 840.

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