Nonlinear Fokker-Planck equation with reflecting boundary conditions

Authors :: Ciotir, Ioana
Fayad, Rim
Laboratoire de Mathématiques de l'INSA de Rouen Normandie (LMI)
Institut national des sciences appliquées Rouen Normandie (INSA Rouen Normandie)
Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)-Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)
Ciotir, Ioana
Publication Year :: 2021
Publisher :: HAL CCSD, 2021.
Abstract: We study the existence and uniqueness of a mild solution to a nonlinear Fokker-Planck equation with reflecting boundary conditions, by using a monotonicity approach. Then we prove that the mild solution is also a distributional one.

Subjects :: [MATH.MATH-PR] Mathematics [math]/Probability [math.PR]
Applied Mathematics
secondary 35Q84
Fokker-Planck equation
35D99
m-accretive operator
[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]
McKean-Vlasov stochastic differential equation AMS [2020] Primary 60H30
mild solution
60G46
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
60H10
[MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP]
Analysis

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