Abstract McKean-Vlasov and Hamilton-Jacobi-Bellman equations, their fractional versions and related forward-backward systems on Riemannian manifolds
DOI10.1134/S0081543821050096zbMath1486.35436arXiv2103.05359WikidataQ115247974 ScholiaQ115247974MaRDI QIDQ2071557
M. S. Troeva, Vassili N. Kolokol'tsov
Publication date: 28 January 2022
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.05359
mild solutionsCaputo-Dzherbashyan fractional derivativedual Banach triplesfractional forward-backward systems on manifoldsfractional Hamilton-Jacobi-Bellman-Isaacs equationsfractional McKean-Vlasov type equationssmoothing and smoothness preserving operator semigroups
One-parameter semigroups and linear evolution equations (47D06) Hamilton-Jacobi equations (35F21) Fractional partial differential equations (35R11) PDEs on manifolds (35R01) Mean field games and control (49N80) Hamilton-Jacobi equations in optimal control and differential games (49L12)
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