Existence of solutions to a diffusive shallow medium equation

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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2020-07-25
Major/Subject
Mcode
Degree programme
Language
en
Pages
45
Series
Journal of Evolution Equations
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.
Description
Keywords
Doubly nonlinear parabolic equations, Existence, Shallow medium equation
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Citation
Bögelein , V , Dietrich , N & Vestberg , M 2020 , ' Existence of solutions to a diffusive shallow medium equation ' , Journal of Evolution Equations . https://doi.org/10.1007/s00028-020-00604-y