Regularity of Viscous Solutions for a Degenerate Non-linear Cauchy Problem

Abstract

We consider the Cauchy problem for a class of nonlinear degenerate parabolic equation with forcing. By using the vanishing viscosity method it is possible to construct a generalized solution. Moreover, this solution is a Lipschitz function on the spatial variable and Hölder continuous with exponent 1/2 on the temporal variable.

Publication
Journal of Partial Differential Equations, 29(1), 14-21. doi:10.4208/jpde.v29.n1.2

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