ON THE EXISTENCE OF WEAK SOLUTION OF THE KINETIC FOKKER-PLANCK EQUATION IN A BOUNDED DOMAIN WITH ABSORBING BOUNDARY - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

ON THE EXISTENCE OF WEAK SOLUTION OF THE KINETIC FOKKER-PLANCK EQUATION IN A BOUNDED DOMAIN WITH ABSORBING BOUNDARY

Résumé

In the present paper, we discuss the existence and unicity of weak solutions of the kinetic Fokker-Planck equation in a bounded domain with absorbing boundary. Moreover, we provide some results about the regularity, the existence of the trace and its behavior in long-time limit.
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Dates et versions

hal-04197938 , version 1 (06-09-2023)
hal-04197938 , version 2 (03-11-2023)

Identifiants

  • HAL Id : hal-04197938 , version 1

Citer

Étienne Bernard. ON THE EXISTENCE OF WEAK SOLUTION OF THE KINETIC FOKKER-PLANCK EQUATION IN A BOUNDED DOMAIN WITH ABSORBING BOUNDARY. 2023. ⟨hal-04197938v1⟩
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