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

DOI10.3934/MINE.2023038OpenAlexW4285299863WikidataQ113692637 ScholiaQ113692637MaRDI QIDQ6195579

Nicolai V. Krylov

Publication date: 14 March 2024

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mine.2023038

zbMATH Keywords

embedding theoremsAdams theoremparabolic Morrey spacesChiarenza-Frasca theorem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Second-order parabolic equations (35K10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Cites Work

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• A note on Riesz potentials
• Elliptic equations with discontinuous coefficients in generalized Morrey spaces
• Linear and fully nonlinear elliptic equations with Morrey drift
• An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
• A Remark on a Paper by C. Fefferman
• Some Maximal Inequalities

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