Doubly nonlinear evolution equations of second order: existence and fully discrete approximation
type: Item
instance of: scholarly article
title: Doubly nonlinear evolution equations of second order: existence and fully discrete approximation
zbMATH Open document ID: 1220.47141
author: Etienne Emmrich
author: Mechthild Thalhammer
published in: Journal of Differential Equations
publication date: 2011-06-06T00:00:00Z
review text: By considering a full discretization that combines a temporal discretization with an internal approximation of the underlying space, the authors prove existence for a wide class of initial value problems. The convergence result does not require any regularity of the exact solution and thus is complementary to error estimates for a sufficiently smooth exact solution.
Mathematics Subject Classification ID: 47J35
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 5904489
zbMATH Keywords: evolution equation of second order
zbMATH Keywords: integro-differential equation
zbMATH Keywords: monotone operator
zbMATH Keywords: weak solution
zbMATH Keywords: time discretisation
zbMATH Keywords: variable time grid
zbMATH Keywords: internal approximation
zbMATH Keywords: convergence
reviewed by: George Stoica
MaRDI profile type: Publication
full work available at URL: j.jde.2011.02.014
OpenAlex ID: W2100511085
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DOI: 10.1016/J.JDE.2011.02.014
description: scientific article; zbMATH DE number 5904489