椭圆和抛物型方程理论中的Rubio de Francia外推定理及相关课题。一项调查
Rubio de Francia extrapolation theorem and related topics in the theory of elliptic and parabolic equations. A survey
摘要：
本文简要介绍了线性椭圆型和抛物型方程的Sobolev混合范数理论的发展历史以及基于Rubio de Francia外推定理的Sobolev混合范数理论的最新进展。这个定理的一个自包含的证明以及其他相关的实分析的工具，以及应用到完全非线性方程的混合范数估计。
英文摘要：
We give 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.
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