Existence of solutions to the nonconvex sweeping process
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Publication:1581858
DOI10.1006/jdeq.1999.3756zbMath0957.34061OpenAlexW2063311431MaRDI QIDQ1581858
Publication date: 1 April 2001
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1999.3756
Related Items (39)
Mixed semicontinuous perturbations of nonconvex sweeping processes ⋮ \(BV\)-norm continuity of sweeping processes driven by a set with constant shape ⋮ Sweeping by a tame process ⋮ Regularization of differential variational inequalities with locally prox-regular sets ⋮ Sweeping processes with prescribed behavior on jumps ⋮ Moreau-Yosida regularization of state-dependent sweeping processes with nonregular sets ⋮ Galerkin-like Method and Generalized Perturbed Sweeping Process with Nonregular Sets ⋮ Feasibility in finite time ⋮ Viscous approximations of non-convex sweeping processes in the space of regulated functions ⋮ Continuity of the non-convex play operator in the space of rectifiable curves. ⋮ Sweeping process with regular and nonregular sets. ⋮ A nonsmooth maximum principle for a controlled nonconvex sweeping process ⋮ Delay perturbed sweeping process ⋮ On sweeping process with the cone of limiting normals. ⋮ On state-dependent sweeping process in Banach spaces ⋮ Unnamed Item ⋮ Regularization of nonconvex sweeping process in Hilbert space ⋮ 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 ⋮ Stochastic variational inequalities on non-convex domains ⋮ A numerical scheme for a class of sweeping processes ⋮ Stochastic perturbation of sweeping process and a convergence result for an associated numerical scheme ⋮ Convex valued geodesics and applications to sweeping processes with bounded retraction ⋮ BV solutions of nonconvex sweeping process differential inclusion with perturbation ⋮ Existence of solutions for second-order differential inclusions involving proximal normal cones ⋮ On perturbed sweeping process ⋮ Global asymptotic stability of nonconvex sweeping processes ⋮ A class of nonlinear inclusions and sweeping processes in solid mechanics ⋮ Sweeping process with right uniformly lower semicontinuous mappings ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ Topological properties for a perturbed first order sweeping process ⋮ Approximation of Sweeping Processes and Controllability for a Set-Valued Evolution ⋮ Existence and Lyapunov pairs for the perturbed sweeping process governed by a fixed set ⋮ Non-convex sweeping processes in the space of regulated functions ⋮ Relaxation of an optimal control problem involving a perturbed sweeping process ⋮ Càdlàg Skorokhod problem driven by a maximal monotone operator ⋮ Sweeping by a continuous prox-regular set ⋮ Sweeping process by prox-regular sets in Riemannian Hilbert manifolds
Cites Work
- Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
- Convex analysis and measurable multifunctions
- Evolution problem associated with a moving convex set in Hilbert space
- Nonconvex Sweeping Process
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