Мақаланы E-mail арқылы жіберу The Poisson Equation and Estimates for Distances Between Stationary Distributions of Diffusions
- Авторлар: Bogachev V.1,2,3, Röckner M.4, Shaposhnikov S.1,2,3
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Мекемелер:
- Moscow State University
- National University Higher School of Economics
- St. Tikhon’s Orthodox Humanitarian University
- Universität Bielefeld
- Шығарылым: Том 232, № 3 (2018)
- Беттер: 254-282
- Бөлім: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241296
- DOI: https://doi.org/10.1007/s10958-018-3872-3
- ID: 241296
Дәйексөз келтіру
Ашық рұқсат
Рұқсат берілді
Тек жазылушылар үшін
Аннотация
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.
Авторлар туралы
V. Bogachev
Moscow State University; National University Higher School of Economics; St. Tikhon’s Orthodox Humanitarian University
Хат алмасуға жауапты Автор.
Email: vibogach@mail.ru
Ресей, Moscow, 119991; 20, Myasnitskaya St., Moscow, 101000; 23-5A, Novokuznetskaya St., Moscow, 115184
M. Röckner
Universität Bielefeld
Email: vibogach@mail.ru
Германия, Bielefeld, 33501
S. Shaposhnikov
Moscow State University; National University Higher School of Economics; St. Tikhon’s Orthodox Humanitarian University
Email: vibogach@mail.ru
Ресей, Moscow, 119991; 20, Myasnitskaya St., Moscow, 101000; 23-5A, Novokuznetskaya St., Moscow, 115184
