Existence of solutions to a diffusive shallow medium equation
Verena Bögelein, Nicolas Pascal Dietrich, Matias Vestberg · Journal of Evolution Equations · 2020
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.