Mean field games with state constraints: from mild to pointwise solutions of the PDE system

Mean Field Games with state constraints are differential games with infinitely many agents, each agent facing a constraint on his state. The aim of this paper is to provide a meaning of the PDE system associated with these games, the so-called Mean Field Game system with state constraints. For this,...

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Vydáno v:	Calculus of variations and partial differential equations Ročník 60; číslo 3; s. 1 - 33
Hlavní autoři:	Cannarsa, Piermarco, Capuani, Rossana, Cardaliaguet, Pierre
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2021 Springer Nature B.V Springer Verlag
Témata:	Analysis Analysis of PDEs Calculus of Variations and Optimal Control; Optimization Control Differential games Mathematical and Computational Physics Mathematics Mathematics and Statistics Optimal control Optimization and Control Systems Theory Theoretical 49N60 49K40 49L25 49N90 semiconcave functions viscosity solutions MSC Subject classifications: 49L25 mean field games state constraints
ISSN:	0944-2669, 1432-0835
On-line přístup:	Získat plný text
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