Elliptic 1-Laplacian Equations with Dynamical Boundary Conditions
Analysis of PDEs
2018-02-28 v2
Abstract
This paper is concerned with an evolution problem having an elliptic equation involving the 1-Laplacian operator and a dynamical boundary condition. We apply nonlinear semigroup theory to obtain existence and uniqueness results as well as a comparison principle. Our main theorem shows that the solution we found is actually a strong solution. We also compare solutions with different data.
Keywords
Cite
@article{arxiv.1801.03447,
title = {Elliptic 1-Laplacian Equations with Dynamical Boundary Conditions},
author = {M. Latorre and S. Segura de León},
journal= {arXiv preprint arXiv:1801.03447},
year = {2018}
}