A non-convex setup for multivalued differential equations driven by oblique subgradients

DOI10.1016/j.na.2014.08.020zbMath1307.34035OpenAlexW1978486459MaRDI QIDQ744152

Aurel Răşcanu, Eduard Rotenstein

Publication date: 6 October 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.08.020

zbMATH Keywords

differential inclusionsSkorokhod problemoblique reflectionnon-convex domain

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

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Cites Work

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• Stochastic variational inequalities with oblique subgradients
• Existence results of nonconvex differential inclusions
• Existence of solutions for second-order differential inclusions involving proximal normal cones
• Stochastic differential equations for multi-dimensional domain with reflecting boundary
• Stochastic differential equations with reflecting boundary condition in convex regions
• Sweeping process with regular and nonregular sets.
• On the structure of the solution set of evolution inclusions with Fréchet subdifferentials
• Subdifferential evolution inclusion in nonconvex analysis
• Existence of solutions to a class of evolution inclusions
• Nonlinear evolution equations without convexity
• Stochastic differential equations, backward SDEs, partial differential equations
• BV solutions of nonconvex sweeping process differential inclusion with perturbation
• Existence and approximation results for gradient flows
• Evolution equations with lack of convexity
• Gradient flows of non convex functionals in Hilbert spaces and applications
• Stochastic differential equations with reflecting boundary conditions
• A viability approach to the skorohod problem
• Local differentiability of distance functions

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