Variational problems with non-constant gradient constraints.
type: Item
instance of: scholarly article
title: Variational problems with non-constant gradient constraints.
zbMATH Open document ID: 1146.35387
author: Lisa Santos
published in: Portugaliae Mathematica. Nova Série
publication date: 2002-08-18T00:00:00Z
full work available at URL: https://eudml.org/doc/54539
full work available at URL: pm59f206.pdf
review text: Summary: his paper studies existence, uniqueness, continuous dependence on the given data and the asymptotic behavior of the solution of an evolutive variational inequality with non-constant gradient constraint and homogeneous Dirichlet boundary condition. With assumptions on the given data, we prove existence of solution for a variational inequality with two obstacles, a Lagrange multiplier problem and an equation with gradient constraint. Equivalence of these problems with the variational inequality with gradient constraint is proved. An example of non-equivalence among these problems is given in order to show the necessity of the assumptions.
Mathematics Subject Classification ID: 35K85
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 49J10
Mathematics Subject Classification ID: 49K10
zbMATH DE Number: 1782991
zbMATH Keywords: Parabolic variational inequality
zbMATH Keywords: Parabolic PDE
zbMATH Keywords: Free boundary problem
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1782991