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July/August 2014 Asymptotic limits for the doubly nonlinear equation
M. Astudillo
Adv. Differential Equations 19(7/8): 613-634 (July/August 2014).

Abstract

This article is concerned with the asymptotic limits of the solutions of the homogeneous Dirichlet problem associated to a doubly nonlinear evolution equation of the form $u_{t} = \Delta_{p}u^{m} + g$, in a bounded domain, as the parameters $p$ and $m$ tend to infinity. We will address the limits in $p$ and $m$ separately and in sequence, eventually completing a convergence diagram for this problem. We prove, under additional assumptions on the domain and initial data, that the equation satisfied at the limit is independent of the order in which we take the limits in $p$ and $m$.

Citation

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M. Astudillo. "Asymptotic limits for the doubly nonlinear equation." Adv. Differential Equations 19 (7/8) 613 - 634, July/August 2014.

Information

Published: July/August 2014
First available in Project Euclid: 6 May 2014

zbMATH: 1295.35077
MathSciNet: MR3252897

Subjects:
Primary: 35B40, 35K65

Rights: Copyright © 2014 Khayyam Publishing, Inc.

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Vol.19 • No. 7/8 • July/August 2014
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