Existence and convergence results for evolution hemivariational inequalities
KeywordsHemivariational inequality, pseudomonotone operator, nonconvex, surjective, parabolic, the Clarke subdifferential, PG-convergence
AbstractIn the paper we examine nonlinear evolution hemivariational inequality defined on a Gelfand fivefold of spaces. First we show that the problem with multivalued and $L$-pseudomonotone operator and zero initial data has a solution. Then the existence result is established in the case when the operator is single valued of Leray-Lions type and the initial condition is nonzero. Finally, the asymptotic behavior of solutions of hemivariational inequality with operators of divergence form is considered and the result on upper semicontinuity of the solution set is given.
How to Cite
MIGÓRSKI, Stanisław. Existence and convergence results for evolution hemivariational inequalities. Topological Methods in Nonlinear Analysis [online]. 1 September 2000, T. 16, nr 1, s. 125–144. [accessed 27.11.2021].
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