Regularity and Rothe method error estimates for parabolic hemivariational inequality

DOI10.1016/j.jmaa.2011.12.007zbMath1231.49010OpenAlexW2010358349MaRDI QIDQ663736

Piotr Kalita

Publication date: 27 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.12.007

zbMATH Keywords

regularityerror estimatesdifferential inclusionhemivariational inequalityClarke subdifferentialRothe methodparabolic problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonsmooth analysis (49J52) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (15)

Existence for a quasistatic variational-hemivariational inequality ⋮ A class of hyperbolic variational-hemivariational inequalities without damping terms ⋮ A class of fractional differential hemivariational inequalities with application to contact problem ⋮ A new class of hyperbolic variational–hemivariational inequalities driven by non-linear evolution equations ⋮ Hyperbolic hemivariational inequalities controlled by evolution equations with application to adhesive contact model ⋮ Applications of generalized fractional hemivariational inequalities in solid viscoelastic contact mechanics ⋮ Numerical Analysis of Elliptic Hemivariational Inequalities ⋮ Noncoercive hyperbolic variational-hemivariational inequalities with an application to contact problem ⋮ Differential history-dependent variational-hemivariational inequality with application to a dynamic contact problem ⋮ Convergence of a Time Discretization for a Nonlinear Second-Order Inclusion ⋮ Weak solvability of a fractional viscoelastic frictionless contact problem ⋮ Regularity of weak solutions and their attractors for a parabolic feedback control problem ⋮ Existence and regularity results for doubly nonlinear inclusions with nonmonotone perturbation ⋮ Evolutionary subgradient inclusions with nonlinear weakly continuous operators and applications ⋮ Feedback control for nonlinear evolutionary equations with applications

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