Existence of Solutions to a Diffusive Shallow Medium Equation
Analysis of PDEs
2020-01-23 v1
Abstract
In this article we establish the existence of weak solutions to the shallow medium equation. We proceed by an approximation argument. First we truncate the coefficients of the equation from above and below. Then we prove convergence of the solutions of the truncated problem to a solution to the original equation.
Cite
@article{arxiv.2001.07942,
title = {Existence of Solutions to a Diffusive Shallow Medium Equation},
author = {Verena Bögelein and Nicolas Dietrich and Matias Vestberg},
journal= {arXiv preprint arXiv:2001.07942},
year = {2020}
}
Comments
35 pages, 0 figures