Existence of solutions to a diffusive shallow medium equation

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Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Author
Date
2020-07-25
Department
Department of Mathematics and Systems Analysis
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
Other note
DOI
10.1007/s00028-020-00604-y
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
Permanent link to this item
https://urn.fi/URN:NBN:fi:aalto-202103222560
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[article-cris] Perustieteiden korkeakoulu / SCI