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Regularity of Viscous Solutions for a Degenerate Non-linear Cauchy Problem
Journal of Partial Differential Equations
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. AMS Subject Classifications: 35K65, 35D10 Chinese Library Classifications: O175.26doi:10.4208/jpde.v29.n1.2 fatcat:6y7mnig3vjhe5dgq32fl2md2ta