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In this talk I will first present central elements of a pure L^1 well-posedness theory based on renormalized entropy solutions, and also some recent results on entropy solutions for doubly nonlinear degenerate parabolic equations involving nonlinear convection and degenerate p-Laplace operators. Next, I will present some recent results on the convergence of a finite volume Schemes. This is based on joint work with Kenneth H. Karlsen. Area(s): NUMERICAL ANALYSIS, OPTIMIZATION AND APPLICATIONS AND ANALYSIS SEMINAR
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