Registration for Spring term opens Thursday, February 23, 2016.
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We will study three types of equations in detail: the Laplace equation, the heat equation and the wave equation. We will also introduce distributions and discuss the notion of a `fundamental solution'. Finally, we introduce Sobolev spaces, investigate their properties and use them to solve general second order elliptic equation.
SHERMAN FAIRCHILD RESEARCH ASSISTANT PROFESSOR OF MATHEMATICS
Partial Differential Equations by Lawrence C. Evans, ISBN 0-8218-0772-2 (recommended but not required)