Oscillating facets
Analysis of PDEs
2014-07-15 v1
Abstract
We study a singular one-dimensional parabolic problem with initial data in the space, the energy space, for various boundary data. We pay special attention to Dirichlet conditions, which need not satisfied in a pointwise manner. We study the facet creation process and the extinction of solutions caused by the evolution of facets. Our major tool is the comparison principle provided by the theory of viscosity solutions developed in \cite{miyory}.
Cite
@article{arxiv.1407.3629,
title = {Oscillating facets},
author = {Milena Matusik and Piotr Rybka},
journal= {arXiv preprint arXiv:1407.3629},
year = {2014}
}
Comments
34 pages