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Topics in Nonlinear Analysis: Introduction to PDE's and General Relativity

MAT 528

1224
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This course coverd the following topics: 1. Fast introduction to mathematical General Relativity. 2. Kerr family 3. Wave Equation in Minkowski space. Boundedness and Decay. Vectorfield Method. 4. Wave Equation on Black Holes. Boundedness and Decay. 5. Introduction to the problem of the nonlinear stability of Kerr.
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Section C01