关于抛物型Morrey空间的Adams定理、Chiarenza-Frasca定理和其他一些结果

IF 1.4 4区工程技术 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Mathematics in Engineering Pub Date : 2022-01-01 DOI:10.3934/mine.2023038

N. Krylov

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引用次数: 12

摘要

给出了有或没有混合范数的抛物型Morrey和$ L_{p} $空间的嵌入类型的几个结果。给出了抛物线Morrey空间的其他插值结果。主要研究了项$ b^{i}D_{i}u $及其在各种Morrey和$ L_{p} $空间中的估计方法，以便能够将其作为抛物方程中的摄动项。

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On parabolic Adams's, the Chiarenza-Frasca theorems, and some other results related to parabolic Morrey spaces

We present several results of embedding type for parabolic Morrey and $ L_{p} $ spaces with or without mixed norms. Some other interpolation results for parabolic Morrey spaces are also given. The main object of investigation is the term $ b^{i}D_{i}u $ and the ways to estimate it in various Morrey and $ L_{p} $ spaces in order to be able to treat it as a perturbation term in the parabolic equations.

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来源期刊

Mathematics in Engineering MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

2.20

自引率

0.00%

发文量

审稿时长

12 weeks