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...
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¶mtipus_ertek=publication¶m_ertek=2470 |
Similar Items
-
L∞loc estimates for a class of doubly nonlinear parabolic equations with sources
by: M.M. PORZIO
Published: (1996-07-01) -
A Phragmén-Lindelöf property of viscosity solutions to a class of nonlinear parabolic equations with growth conditions
by: Tilak Bhattacharya, et al.
Published: (2020-01-01) -
Regularity of solutions to doubly nonlinear diffusion equations
by: Jochen Merker
Published: (2009-04-01) -
Expansion of positivity to a class of doubly nonlinear parabolic equations
by: Eurica Henriques
Published: (2022-04-01) -
Existence of solutions to a generalized quasilinear Schrödinger equation with concave-convex nonlinearities and potentials vanishing at infinity
by: Xiaojie Guo, et al.
Published: (2023-10-01)