Energy solutions to one-dimensional singular parabolic problems with $BV$ data are viscosity solutions
Analysis of PDEs
2016-03-25 v1
Abstract
We study one-dimensional very singular parabolic equations with periodic boundary conditions and initial data in , which is the energy space. We show existence of solutions in this energy space and then we prove that they are viscosity solutions in the sense of Giga-Giga.
Cite
@article{arxiv.1603.07502,
title = {Energy solutions to one-dimensional singular parabolic problems with $BV$ data are viscosity solutions},
author = {Atsushi Nakayasu and Piotr Rybka},
journal= {arXiv preprint arXiv:1603.07502},
year = {2016}
}
Comments
15 pages