Establishes entropy-cost inequalities for McKean-Vlasov SDEs with singular interactions to prove well-posedness and regularity estimates via a new probability distance induced by local integrable functions.
Ben-Artzi.:Global solutions of two-dimensional Navier-Stokes and Euler equa- tions, Archive for Rational Mechanics and Analysis,128(1994), 329-358
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Entropy-Cost Inequalities for McKean-Vlasov SDEs with Singular Interactions
Establishes entropy-cost inequalities for McKean-Vlasov SDEs with singular interactions to prove well-posedness and regularity estimates via a new probability distance induced by local integrable functions.