The limit of vanishing viscosity for doubly nonlinear parabolic equations

We show that solutions of the doubly nonlinear parabolic equation \begin{equation*} \frac{\partial b(u)}{\partial t} - \epsilon \operatorname{div}(a(\nabla u)) + \operatorname{div}(f(u)) = g \end{equation*} converge in the limit $\epsilon \searrow 0$ of vanishing viscosity to an entropy so...

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Bibliographic Details
Main Authors: Ales Matas, Jochen Merker
Format: Article
Language:English
Published: University of Szeged 2014-03-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2470