Solvability of unilateral parabolic problems and variational inequalities
type: Item
instance of: scholarly article
title: Solvability of unilateral parabolic problems and variational inequalities
zbMATH Open document ID: 1145.35414
author: O. V. Solonikha
published in: Journal of Mathematical Sciences (New York)
publication date: 2007-08-07T00:00:00Z
review text: The author proves the existence of solutions of strong parabolic variational inequalities in reflexive Banach spaces. In order to prove the solvability of a variational inequality, he uses the theory of operator-differential inclusions. He also studies the conditions for the existence of strong generalized solutions of parabolic equations with unilateral boundary conditions. These problems are useful to control problems. The author considers parabolic variational inequalities perturbed by a functional for optimization theory.
Mathematics Subject Classification ID: 35K85
zbMATH DE Number: 5177655
MaRDI profile type: Publication
full work available at URL: s10958-005-0179-y
OpenAlex ID: W2041515916
cites work: Q3324260
cites work: The $H_\infty $-Problem for Infinite-Dimensional Semilinear Systems
cites work: Nonlinear maximal monotone operators in Banach space
cites work: Nonlinear mappings of monotone type in Banach spaces
cites work: Some existence theorems for differential inclusions in Hilbert spaces
cites work: Q4375488
cites work: Existence of slow solutions for a class of differential inclusions
cites work: Ein Erweiterungssatz für monotone Mengen
cites work: Q4747633
cites work: Existence of solutions of nonlinear degenerate systems of parabolic variational inequalities
cites work: Ranges of densely defined generalized pseudomonotone perturbations of maximal monotone operators.
cites work: On some non-linear elliptic differential functional equations
cites work: Q4860793
cites work: Variational inequalities
cites work: Multivariational inequalities and operator inclusions in Banach spaces with mappings of the class \((S)_{+}\)
cites work: Q4830036
cites work: Variational Analysis
cites work: Q3992466
cites work: Q4939918
cites work: On solvability of monotone type problems with non-coercive set-valued operators
cites work: Q4418016
DOI: 10.1007/S10958-005-0179-Y
description: scientific article; zbMATH DE number 5177655