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Dirichlet boundary conditions for degenerate and singular nonlinear parabolic equations (1412.2068v1)
Published 5 Dec 2014 in math.AP
Abstract: We study existence and uniqueness of solutions to a class of nonlinear degenerate parabolic equations, in bounded domains. We show that there exists a unique solution which satisfies possibly inhomogeneous Dirichlet boundary conditions. To this purpose some barrier functions are properly introduced and used.
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