Well-posedness and stability of a stochastic neural field in the form of a partial differential equation

DOI10.1016/j.matpur.2024.103623MaRDI QIDQ6652105

Pierre Roux, José Antonio Carrillo, Susanne Solem

Publication date: 12 December 2024

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

well-posednessnonlinear Fokker-Planck equationgrid cellsPDE models in neuroscience

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Asymptotic behavior of solutions to PDEs (35B40) Neural networks for/in biological studies, artificial life and related topics (92B20) Free boundary problems for PDEs (35R35) Initial value problems for second-order parabolic equations (35K15) Fokker-Planck equations (35Q84)

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