Partial Differential Equations, 7.5 credits

About this education

The course covers:

Introduction to first order equations. The wave equation: equation in one or several space coordinates, Huygens’ principle. The Laplace equation: fundamental solutions, Green's function, Dirichlet problem, the maximum principle, Dirichlet's principle, introduction to Sobolev spaces. The heat equation: initial value problem, fundamental solutions, the maximum principle.

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