On the existence and asymptotic behavior of weak solution of the kinetic Fokker-Planck equation in a bounded domain with absorbing boundary

DOI10.1016/J.BULSCI.2024.103523MaRDI QIDQ6652371

Étienne Bernard

Publication date: 12 December 2024

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

positive semigroupskinetic Fokker-Planck equationbalanced exponential growth law

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Fokker-Planck equations (35Q84)

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