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Nonlinear degenerate parabolic equations with Neumann boundary condition
Authors:Masahiro Kubo
Affiliation:a Department of Mathematics, Faculty of Science and Engineering, Saga University, Saga, Japan
Abstract:We study Neumann problem for a class of nonlinear degenerate parabolic PDE. A typical nonlinearity we have in mind is, for instance, β(u)=−1/u(u>0). We establish a necessary and sufficient condition on given data for existence of solution.
Keywords:Nonlinear parabolic PDE   Neumann problem
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