Dirichlet boundary conditions for degenerate and singular nonlinear\n parabolic equations

2014/12/05 by Fabio Punzo, Punzo, Fabio, Marta Strani +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Differential Equations and Boundary Problems

paper · pdf · doi:10.48550/arxiv.1412.2068

Abstract

We study existence and uniqueness of solutions to a class of nonlinear\ndegenerate parabolic equations, in bounded domains. We show that there exists a\nunique solution which satisfies possibly inhomogeneous Dirichlet boundary\nconditions. To this purpose some barrier functions are properly introduced and\nused.\n

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