Enviar artigo por via de e-mail The Poisson Equation and Estimates for Distances Between Stationary Distributions of Diffusions
- Autores: Bogachev V.1,2,3, Röckner M.4, Shaposhnikov S.1,2,3
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Afiliações:
- Moscow State University
- National University Higher School of Economics
- St. Tikhon’s Orthodox Humanitarian University
- Universität Bielefeld
- Edição: Volume 232, Nº 3 (2018)
- Páginas: 254-282
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241296
- DOI: https://doi.org/10.1007/s10958-018-3872-3
- ID: 241296
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Resumo
We estimate distances between stationary solutions to Fokker–Planck–Kolmogorov equations with different diffusion and drift coefficients. To this end we study the Poisson equation on the whole space. We have obtained sufficient conditions for stationary solutions to satisfy the Poincaré and logarithmic Sobolev inequalities.
Sobre autores
V. Bogachev
Moscow State University; National University Higher School of Economics; St. Tikhon’s Orthodox Humanitarian University
Autor responsável pela correspondência
Email: vibogach@mail.ru
Rússia, Moscow, 119991; 20, Myasnitskaya St., Moscow, 101000; 23-5A, Novokuznetskaya St., Moscow, 115184
M. Röckner
Universität Bielefeld
Email: vibogach@mail.ru
Alemanha, Bielefeld, 33501
S. Shaposhnikov
Moscow State University; National University Higher School of Economics; St. Tikhon’s Orthodox Humanitarian University
Email: vibogach@mail.ru
Rússia, Moscow, 119991; 20, Myasnitskaya St., Moscow, 101000; 23-5A, Novokuznetskaya St., Moscow, 115184
