Well-posedness of history-dependent evolution inclusions with applications

DOI10.1007/s00033-019-1158-3zbMath1443.47056OpenAlexW2955686014WikidataQ127596524 ScholiaQ127596524MaRDI QIDQ2001926

Yunru Bai, Stanislaw Migórski

Publication date: 11 July 2019

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-019-1158-3

zbMATH Keywords

frictional contactexistence and uniquenessClarke subdifferentialvariational-hemivariational inequalityhistory-dependent operatorevolution inclusionsemipermeability

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Methods involving semicontinuity and convergence; relaxation (49J45) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Variational and other types of inclusions (47J22) Existence of solutions of equilibrium problems in solid mechanics (74G22)

Related Items (7)

On a class of differential quasi-variational-hemivariational inequalities in infinite-dimensional Banach spaces ⋮ A new class of history-dependent quasi variational-hemivariational inequalities with constraints ⋮ LP well-posed controlled systems for bounded quasi-equilibrium problems and their application to traffic networks ⋮ Optimal control of an evolution hemivariational inequality involving history-dependent operators ⋮ Convergence results for a class of multivalued variational-hemivariational inequality ⋮ Evolutionary variational-hemivariational inequalities with applications to dynamic viscoelastic contact mechanics ⋮ Sensitivity analysis of optimal control problems driven by dynamic history-dependent variational-hemivariational inequalities

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