Existence via time discretization for a class of doubly nonlinear operator-differential equations of Barenblatt-type
type: Item
instance of: scholarly article
title: Existence via time discretization for a class of doubly nonlinear operator-differential equations of Barenblatt-type
zbMATH Open document ID: 1276.47088
published in: Journal of Differential Equations
publication date: 2013-03-04T00:00:00Z
review text: The authors study the initial value problem for a first order operator-differential equation \(M(u')+A(u,u')=f\), where the unknown function \(u=u(t)\) takes values in a reflexive separable Banach space and \(M:V\to V'\), \(A:V\times V\to V'\) are nonlinear operators. Under some structural assumptions, the authors establish existence of a global weak solution to this problem by proving convergence of a suitable time discretization method. Applications are given to partial differential equations of Barenblatt type.
Mathematics Subject Classification ID: 47J35
Mathematics Subject Classification ID: 35K70
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 65J15
zbMATH DE Number: 6140826
zbMATH Keywords: nonlinear evolution equations
zbMATH Keywords: Barenblatt-type equations
zbMATH Keywords: monotone operators
zbMATH Keywords: weak solutions
zbMATH Keywords: time discretization
author: Etienne Emmrich
author: G. Vallet
reviewed by: Evgeniy Panov
MaRDI profile type: Publication
full work available at URL: j.jde.2012.12.010
OpenAlex ID: W2126497701
DOI: 10.1016/J.JDE.2012.12.010
description: scientific article; zbMATH DE number 6140826