Qualitative properties of solutions to mixed-diffusion bistable equations
Analysis of PDEs
2016-03-21 v2
Abstract
We consider a fourth-order extension of the Allen-Cahn model with mixed-diffusion and Navier boundary conditions. Using variational and bifurcation methods, we prove results on existence, uniqueness, positivity, stability, a priori estimates, and symmetry of solutions. As an application, we construct a nontrivial bounded saddle solution in the plane.
Cite
@article{arxiv.1509.07468,
title = {Qualitative properties of solutions to mixed-diffusion bistable equations},
author = {Denis Bonheure and Földes Juraj and Saldaña Alberto},
journal= {arXiv preprint arXiv:1509.07468},
year = {2016}
}
Comments
New version with minor changes