Erik Lindgren, Peter Lindqvist
Published 2019-01-11Version 1
We study the comparison principle for non-negative solutions of the equation $$ \frac{\partial\,(|v|^{p-2}v)}{\partial t}\,=\, \textrm{div} (|\nabla v|^{p-2}\nabla v). $$ This equation is related to extremals of Poincar\'e inequalities in Sobolev spaces. We apply our result to obtain pointwise control of the large time behavior of solutions.
Comparison principles for nonlinear potential theories and PDEs with fiberegularity and sufficient monotonicity
On Questions of Decay and Existence for the Viscous Camassa-Holm Equations
On the Large Time Behavior of Solutions of the Dirichlet problem for Subquadratic Viscous Hamilton-Jacobi Equations
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