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

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

Year:    2016

Author:    Eric Hernández Sastoque, Christian Klingenberg, Leonardo Rendón, Juan C. Juajibioy

Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 1 : pp. 14–21

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v29.n1.2

Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 1 : pp. 14–21

Published online:    2016-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Viscosity solution

Author Details

Eric Hernández Sastoque

Christian Klingenberg

Leonardo Rendón

Juan C. Juajibioy