On parabolic quasi-variational inequalities and state-dependent sweeping processes
From MaRDI portal
Publication:1284671
DOI10.12775/TMNA.1998.036zbMath0923.34018OpenAlexW2581791419MaRDI QIDQ1284671
Manuel D. P. Monteiro Marques, Markus Kunze
Publication date: 31 October 1999
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.12775/tmna.1998.036
Variational inequalities (49J40) Nonlinear differential equations in abstract spaces (34G20) Ordinary differential inclusions (34A60) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)
Related Items (37)
Truncated nonconvex state-dependent sweeping process: implicit and semi-implicit adapted Moreau's catching-up algorithms ⋮ Averaging of time-periodic dissipation potentials in rate-independent processes ⋮ On a time and state dependent maximal monotone operator coupled with a sweeping process with perturbations ⋮ Explicit and implicit non-convex sweeping processes in the space of absolutely continuous functions ⋮ Nonlocal quasivariational evolution problems ⋮ Sweeping by a tame process ⋮ Second order sweeping process with a Lipschitz perturbation ⋮ Moreau-Yosida regularization of state-dependent sweeping processes with nonregular sets ⋮ Existence, iteration procedures and directional differentiability for parabolic QVIs ⋮ Optimal control of an evolution problem involving time-dependent maximal monotone operators ⋮ On evolution quasi-variational inequalities and implicit state-dependent sweeping processes ⋮ Galerkin-like Method and Generalized Perturbed Sweeping Process with Nonregular Sets ⋮ Fractional-order problem coupled with a second-order Moreau's sweeping process ⋮ Pinning of interfaces by localized dry friction ⋮ Existence solutions for a couple of differential inclusions involving maximal monotone operators ⋮ Nonconvex differential variational inequality and state-dependent sweeping process ⋮ On state-dependent sweeping process in Banach spaces ⋮ State dependent sweeping process in \(p\)-uniformly smooth and \(q\)-uniformly convex Banach spaces ⋮ Mixed semicontinuous perturbation of nonconvex state-dependent sweeping process ⋮ BV prox-regular sweeping process with bounded truncated variation ⋮ Unnamed Item ⋮ A Continuation Principle for Periodic BV-Continuous State-Dependent Sweeping Processes ⋮ Convex sweeping process in the framework of measure differential inclusions and evolution variational inequalities ⋮ Nonconvex sweeping process with a moving set depending on the state ⋮ Non-convex quasi-variational differential inclusions ⋮ WELL-POSEDNESS AND APPROXIMATION FOR A ONE-DIMENSIONAL MODEL FOR SHAPE MEMORY ALLOYS ⋮ Higher order Moreau's sweeping process: mathematical formulation and numerical simulation ⋮ State dependent nonconvex sweeping processes in smooth Banach spaces ⋮ Unnamed Item ⋮ A class of nonlinear inclusions and sweeping processes in solid mechanics ⋮ Weak formulations of quasistatic frictional contact problems ⋮ Nonsmooth dynamics of generalized Nash games ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ Evolution problems involving state-dependent maximal monotone operators ⋮ EXISTENCE AND UNIQUENESS RESULTS FOR A CLASS OF RATE-INDEPENDENT HYSTERESIS PROBLEMS ⋮ Reduction of state dependent sweeping process to unconstrained differential inclusion ⋮ Set-valued perturbation to second-order evolution problems with time-dependent subdifferential operators
This page was built for publication: On parabolic quasi-variational inequalities and state-dependent sweeping processes