Existence of solutions to a diffusive shallow medium equation

Verena Bögelein, Nicolas Dietrich, Matias Vestberg*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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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.

Original languageEnglish
Number of pages45
JournalJournal of Evolution Equations
Early online date2020
DOIs
Publication statusPublished - 25 Jul 2020
MoE publication typeA1 Journal article-refereed

Keywords

  • Doubly nonlinear parabolic equations
  • Existence
  • Shallow medium equation

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