Solvability of parabolic variational-hemivariational inequalities involving space-fractional Laplacian
DOI10.1016/j.amc.2019.124668zbMath1437.35693OpenAlexW2969215759WikidataQ127334582 ScholiaQ127334582MaRDI QIDQ2284071
Sheng-Da Zeng, van Thien Nguyen, Stanislaw Migórski
Publication date: 14 January 2020
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2019.124668
weak solutionClarke subdifferentialconvex subdifferentialparabolic variational-hemivariational inequalityspace-fractional Laplace operator
Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Nonlinear parabolic equations (35K55) Abstract parabolic equations (35K90) Weak solutions to PDEs (35D30) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
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- Maximum principles for multi-term space-time variable-order fractional diffusion equations and their applications
- Existence theorems for elliptic and evolutionary variational and quasi-variational inequalities
- Expected residual minimization method for stochastic variational inequality problems with nonlinear perturbations
- Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
- Semilinear elliptic equations admitting similarity transformations
- Existence of solutions for quasilinear elliptic equations with jumping nonlinearities under the Neumann boundary condition
- A class of global fractional-order projective dynamical systems involving set-valued perturbations
- Ground state solutions of scalar field fractional Schrödinger equations
- Approximating the common fixed points of two sequences of uniformly quasi-Lipschitzian mappings in convex metric spaces
- Variational methods for non-differentiable functionals and their applications to partial differential equations
- On the convergence of solutions of multivalued parabolic equations and applications
- Partial differential hemivariational inequalities
- A class of fractional differential hemivariational inequalities with application to contact problem
- Numerical analysis of stationary variational-hemivariational inequalities
- Inverse problems for quasi-variational inequalities
- Analysis and control of nonlinear infinite dimensional systems
- Partial differential variational inequalities involving nonlocal boundary conditions in Banach spaces
- A class of time-fractional hemivariational inequalities with application to frictional contact problem
- Positive solutions of fractional differential equations with the Riesz space derivative
- Optimization problems for a viscoelastic frictional contact problem with unilateral constraints
- A two level algorithm for an obstacle problem
- Nonlinear mappings of monotone type in Banach spaces
- On the optimal control of variational-hemivariational inequalities
- Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
- Optimization and nonsmooth analysis
- Nonlocal elliptic hemivariational inequalities
- Riesz Riemann–Liouville difference on discrete domains
- Existence results for evolutionary inclusions and variational–hemivariational inequalities
- Numerical Analysis of Elliptic Hemivariational Inequalities
- Evolutionary problems driven by variational inequalities