5 citations · 5 across the 1 of their papers we have counts for
3 papers
math.AP2020
Existence of Solutions to a Diffusive Shallow Medium Equation
Verena Bögelein, Nicolas Dietrich, Matias Vestberg
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 equa…
math.AP2020★ 5 cited
An extensive study of the regularity properties of solutions to doubly singular equations
Vincenzo Vespri, Matias Vestberg
In recent years, many papers have been devoted to the regularity of doubly nonlinear singular evolution equations. Many of the proofs are unnecessarily complicated, rely on superfl…
math.AP2018
Local Boundedness of Weak Solutions to the Diffusive Wave Approximation of the Shallow Water Equations
Thomas Singer, Matias Vestberg
In this paper we prove that weak solutions to the Diffusive Wave Approximation of the Shallow Water equations …