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Regularity of Viscous Solutions for a Degenerate Non-linear Cauchy Problem |
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| Authors: | Eric Herná ndez Sastoque Christian Klingenberg Leonardo Rendó n & Juan C Juajibioy |
| 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. |
| Keywords: | Viscosity solution Hölder estimates Hölder continuity |
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