scientific article; zbMATH DE number 7201319
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Publication:5110199
zbMath1439.49033MaRDI QIDQ5110199
A. A. Tolstonogov, Sergey A. Timoshin
Publication date: 18 May 2020
Full work available at URL: http://www.heldermann.de/JCA/JCA27/JCA272/jca27033.htm#jca272
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function of bounded variationrelaxation theoremexistence theoremRadon measureBV solutionsdifferential measuredensity of a measure
Set-valued and variational analysis (49J53) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (6)
BV solutions of a convex sweeping process with a composed perturbation ⋮ Existence and relaxation of solutions for evolution differential inclusions with maximal monotone operators ⋮ Non-convex perturbation to evolution problems involving Moreau's sweeping process ⋮ On periodic evolution equations governed by sweeping processes with multivalued perturbations ⋮ Density and co-density of the solution set of an evolution inclusion with maximal monotone operators ⋮ BV solutions of a convex sweeping process with local conditions in the sense of differential measures
Cites Work
- Convex sweeping process in the framework of measure differential inclusions and evolution variational inequalities
- Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
- A chain rule involving vector functions of bounded variation
- Integrals, conditional expectations, and martingales of multivalued functions
- BV solutions of nonconvex sweeping process differential inclusion with perturbation
- Relaxation in Nonconvex Optimal Control Problems Containing the Difference of Two Subdifferentials
- Measurable relations
- Discontinuous sweeping process with prox-regular sets
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