Results 131 to 140 of about 636,419 (206)

Hysteresis and Hemivariational Inequalities: Semilinear Case

Journal of Global Optimization, 1998
The authors study a semilinear parabolic boundary value problem with a continuous hysteresis operator. The formulation of the problem leads to a hemivariational inequality. This fact has a strong physical motivation allowing mechanical laws which contain nonmonotone discontinuities.
Miettinen, M., Panagiotopoulos, P. D.
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Numerical analysis of a parabolic hemivariational inequality for semipermeable media

Journal of Computational and Applied Mathematics, 2021
In this paper, we consider the numerical solution of a model problem in the form of a parabolic hemivariational inequality that arises in applications of semipermeable media.
W. Han, Cheng Wang
semanticscholar   +1 more source

Boundary Stabilization of Hyperbolic Hemivariational Inequalities

Acta Applicandae Mathematicae, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Park, Sun Hye, Park, Jong Yeoul, Jeong, Jin Mun   +2 more
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ON THE EXISTENCE OF SOLUTIONS FOR SOME KIND OF MIXED EVOLUTIONARY VARIATIONAL-HEMIVARIATIONAL INEQUALITY PROBLEMS

Applicable Nonlinear Analysis
This paper discusses the mixed evolutionary variational-hemivariational inequality problem, which incorporates a set of constraints and history-dependent operators.
S. S. Chang, S. Salahuddin, A. Ahmadini, M. Liu, J. Tang   +4 more
semanticscholar   +1 more source

The Virtual Element Method for an Elliptic Hemivariational Inequality with Convex Constraint

Numerical Mathematics: Theory, Methods and Applications, 2021
An abstract framework of numerical method is devised for solving an elliptic hemivariational inequality with convex constraint. Convergence of the method is explored under the minimal solution regularity available from the well-posedness of the ...
Fang Feng
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Semicoercive variational hemivariational inequalities

Applicable Analysis, 1997
The aim of this paper is the study of semicoercive variational hemivariational inequalities. For this study the critical point theory of Ambrosetti, Rabinowitz and Szulkin has been extended for nonsmooth functionals. Moreover, a Saddle Point Theorem and a symmetric version of the Mountain Pass Theorem have been used.
D. Goeleven, D. Motreanu, P. D. Panagiotopoulos   +2 more
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Singular Perturbations of Variational-Hemivariational Inequalities

SIAM Journal on Mathematical Analysis, 2020
Let $V_i$, $i=0,1$, be a reflexive Banach space and $K_i$ be a closed and convex subset of $V_i$. It is assumed that $V_1$ is continuously and densely embedded in $V_0$, and $K_1$ is the closure of $K_0$ in $V_0$. Two operators $A_i:V_i\to V_i^*$ are introduced such that \[ \|A_i u-A_i v\|_{V_i^*}\leq L_i \|u-v\|_{V_i},\forall u,v\in V_i\,.
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Evolutionary Inclusions and Hemivariational Inequalities

2012
In this chapter we study evolutionary inclusions of second order. These are multivalued relations which involve the second-order time derivative of the unknown. We start with a basic existence result for such inclusions. Then we provide results on existence and uniqueness of solutions to evolutionary inclusions of the subdifferential type, i.e ...
Migórski, Stanisław, Ochal, Anna, Sofonea, Mircea   +2 more
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On some elliptic hemivariational and variational–hemivaritional inequalities

Nonlinear Analysis: Theory, Methods & Applications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MARANO, Salvatore Angelo, PAPAGEORGIOU N. S.   +1 more
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A parabolic hemivariational inequality

Nonlinear Analysis: Theory, Methods & Applications, 1996
A quasilinear nonmonotone parabolic initial boundary value problem of the form \[ u'(t)+Au(t)+\Sigma(t)=f(t), \quad u(0)=u_0, \quad \Sigma(x,t)\in\widehat{b} (u(x,t)) \quad\text{a.e. }(x,t)\in Q_T, \] is considered taking into account the existence of its solutions. This is a generalization of stationary hemivariational inequalities to the dynamic case
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