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

Eric Hernández Sastoque, Christian Klingenberg, Leonardo Rendón, Juan C. Juajibioy
2016 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: O175.26
doi:10.4208/jpde.v29.n1.2 fatcat:6y7mnig3vjhe5dgq32fl2md2ta