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Research Article | Open Access

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

School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
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Abstract

We present several results of embedding type for parabolic Morrey and Lp 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 biDiu and the ways to estimate it in various Morrey and Lp spaces in order to be able to treat it as a perturbation term in the parabolic equations.

Keywords

parabolic Morrey spacesembedding theoremsAdams theoremChiarenza-Frasca theorem

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Mathematics in Engineering
Volume 5 Issue 2,
April 2023
Pages 1-20
DOI: 10.3934/mine.2023038

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Cite this article:
Krylov N. On parabolic Adams's, the Chiarenza-Frasca theorems, and some other results related to parabolic Morrey spaces. Mathematics in Engineering, 2023, 5(2): 1-20. https://doi.org/10.3934/mine.2023038

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Received: 03 March 2022
Revised: 24 May 2022
Accepted: 24 May 2022
Published: 15 April 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)