University at Buffalo 3 credits Mathematics
The Cauchy problem for partial differential equations, classification of second order linear partial differential equations, properties of solutions for elliptic, parabolic and hyperbolic equations, existence of solutions for elliptic partial differential equations. Topics from Fourier and Laplace transforms, potential theory, Greenโs functions, integral equations, Sobolev spaces, and Schwartz distributions. Prerequisite: Advanced calculus or introductory real analysis, or permission of instructor
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