Continuity of the temperature in a multi-phase transition problem
Analysis of PDEs
2021-09-10 v1
Abstract
Locally bounded, local weak solutions to a doubly nonlinear parabolic equation, which models the multi-phase transition of a material, is shown to be locally continuous. Moreover, an explicit modulus of continuity is given. The effect of the -Laplacian type diffusion is also considered.
Cite
@article{arxiv.2109.04435,
title = {Continuity of the temperature in a multi-phase transition problem},
author = {Ugo Gianazza and Naian Liao},
journal= {arXiv preprint arXiv:2109.04435},
year = {2021}
}