Parabolic Quasi-Variational Inequalities (I) -- Semimonotone Operator Approach
zbMath1492.35101arXiv2009.14129MaRDI QIDQ5074518
Marek Niezgódka, Maria Gokieli, Nobuyuki Kenmochi
Publication date: 9 May 2022
Full work available at URL: https://arxiv.org/abs/2009.14129
variational inequalitiesconvex analysisparabolic inequalitiesset-valued monotone operatorssuperconductivity model
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) PDEs with multivalued right-hand sides (35R70) Reaction-diffusion equations (35K57) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51) Variational and other types of inclusions (47J22) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86) Boundary value problems for systems of linear higher-order PDEs (35G45)
Cites Work
- Quasi-variational inequality approach to heat convection problems with temperature dependent velocity constraint
- Variational inequalities of Navier-Stokes type with time dependent constraints
- Nonlocal quasivariational evolution problems
- A propos de l'existence et de la régularité des solutions de certaines inéquations quasi-variationnelles. (Remark on the existence and regularity of certain quasi-variational inequalities.)
- Mathematical modeling of biofilm development
- Convergence of functionals and its applications to parabolic equations
- Parabolic quasi-variational diffusion problems with gradient constraints
- On the uniqueness and numerical approximation of solutions to certain parabolic quasi-variational inequalities
- Nonlinear maximal monotone operators in Banach space
- On the continuity of the Young-Fenchel transform
- An elliptic quasi-variational inequality with gradient constraints and some of its applications
- A New Approach to Variational Inequalities of Parabolic Type
- Variational and Quasi--variational Inequalities of Navier--Stokes Type with Velocity Constraints
- Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder
- Parabolic Quasi-variational Inequalities with Gradient-Type Constraints
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