Existence of solutions and optimal control problems for hyperbolic hemivariational inequalities

DOI10.1017/S1446181100009767zbMath1085.49012OpenAlexW2021188756MaRDI QIDQ5693393

Sun Hye Park, Jong Yeoul Park

Publication date: 26 September 2005

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181100009767

zbMATH Keywords

optimal controlvariational inequalityFaedo-Galerkin approximationhyperbolic problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)

Related Items (14)

A class of delay evolution hemivariational inequalities and optimal feedback controls ⋮ Approximate Controllability for Nonlinear Evolution Hemivariational Inequalities in Hilbert Spaces ⋮ Optimal feedback control and controllability for hyperbolic evolution inclusions of Clarke's subdifferential type ⋮ Optimal control of feedback control systems governed by systems of evolution hemivariational inequalities ⋮ Approximate controllability of non-autonomous second-order evolution hemivariational inequalities with nonlocal conditions ⋮ Approximate controllability analysis of impulsive neutral functional hemivariational inequalities ⋮ A note concerning to optimal feedback control for Caputo fractional neutral stochastic evolution systems ⋮ An investigation on the existence and approximate controllability of neutral stochastic hemivariational inequalities ⋮ Approximate controllability for a class of hemivariational inequalities ⋮ Existence and controllability results for stochastic fractional evolution hemivariational inequalities ⋮ Optimal control of second order stochastic evolution hemivariational inequalities with Poisson jumps ⋮ Optimal control of feedback control systems governed by hemivariational inequalities ⋮ On the approximate controllability for fractional evolution hemivariational inequalities ⋮ Solvability and optimal controls for semilinear fractional evolution hemivariational inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On weak solutions for hyperbolic differential inclusion with discontinuous nonlinearities
• Analysis and control of nonlinear infinite dimensional systems
• Modelling of nonconvex nonsmooth energy problems. Dynamic hemivariational inequalities with impact effects
• Coercive and semicoercive hemivariational inequalities
• Discontinuous Semilinear Differential Equations and Multiple Valued Maps
• On parabolic hemivariational inequalities and applications
• Optimal control of systems governed by hemivariational inequalities. Existence and approximation results
• Optimal Control of Problems Governed by Abstract Elliptic Variational Inequalities with State Constraints
• Optimal Control of Parabolic Differential Equations with Two Point Boundary State Constraints
• A parabolic hemivariational inequality
• Optimal control of parabolic hemivariational inequalities

This page was built for publication: Existence of solutions and optimal control problems for hyperbolic hemivariational inequalities