Short and long time behavior of the Fokker-Planck equation in a confining potential and applications

نویسنده

  • Frédéric Hérau
چکیده

We consider the linear Fokker-Planck equation in a confining potential in space dimension d ≥ 3. Using spectral methods, we prove bounds on the derivatives of the solution for short and long time, and give some applications. Résumé: On considère l’équation de Fokker-Planck avec un potentiel confinant en dimension d ≥ 3. Avec des méthodes spectrales on donne des bornes sur les dérivées de la solution en temps petit et grand, et quelques applications.

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تاریخ انتشار 2008