Classical solutions to quasilinear parabolic problems with dynamic boundary conditions
Analysis of PDEs
2015-04-24 v1
Abstract
We study linear nonautonomous parabolic systems with dynamic boundary conditions. Next, we apply these results to show a theorem of local existence and uniqueness of a classical solution to a second order quasilinear system with nonlinear dynamic boundary conditions.
Cite
@article{arxiv.1504.06112,
title = {Classical solutions to quasilinear parabolic problems with dynamic boundary conditions},
author = {Davide Guidetti},
journal= {arXiv preprint arXiv:1504.06112},
year = {2015}
}