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Эта публикация цитируется в 7 научных статьях (всего в 7 статьях)
Обзоры
Rubio de Francia extrapolation theorem and related topics in the theory of elliptic and parabolic equations. A survey
N. V. Krylov 127 Vincent Hall, University of Minnesota, Minneapolis, MN, 55455
Аннотация:
This is a brief overview of the history of the Sobolev mixed norm theory of linear elliptic and parabolic equations and the recent development in this theory based on the Rubio de Francia extrapolation theorem. A self contained proof of this theorem along with other relevant tools of Real Analysis are also presented as well as an application to mixed norm estimates for fully nonlinear equations.
Ключевые слова:
Rubio de Francia extrapolation theorem, mixed norm estimates.
Поступила в редакцию: 07.05.2019
Образец цитирования:
N. V. Krylov, “Rubio de Francia extrapolation theorem and related topics in the theory of elliptic and parabolic equations. A survey”, Алгебра и анализ, 32:3 (2020), 5–38; St. Petersburg Math. J., 32:3 (2021), 389–413
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/aa1698 https://www.mathnet.ru/rus/aa/v32/i3/p5
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