Existence of solutions to a diffusive shallow medium equation

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date

2020-07-25

Department

Department of Mathematics and Systems Analysis

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Mcode

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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.

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Keywords

Doubly nonlinear parabolic equations, Existence, Shallow medium equation

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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

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https://urn.fi/URN:NBN:fi:aalto-202103222560

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[article-cris] Perustieteiden korkeakoulu / SCI