加权Sobolev空间中系数可测的抛物系统

Communications on Pure & Applied Analysis Pub Date : 2018-09-05 DOI:10.3934/cpaa.2022062

Doyoon Kim, Kyeong-Hun Kim, Kijung Lee

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引用次数: 2

摘要

We present a weighted \begin{document}$ L_p $\end{document}-theory of parabolic systems on a half space \begin{document}$ {\mathbb{R}}^d_+ $\end{document}. The leading coefficients are assumed to be only measurable in time \begin{document}$ t $\end{document} and have small bounded mean oscillations (BMO) with respect to the spatial variables \begin{document}$ x $\end{document}, and the lower order coefficients are allowed to blow up near the boundary.

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Parabolic Systems with measurable coefficients in weighted Sobolev spaces

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Communications on Pure & Applied Analysis

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