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Open AccessMathematics

On a New Parabolic Sobolev Embedding Map

Mohammed EL AIDI

2023.9.1Moroccan Journal of Pure and Applied Analysis

DOI: 10.2478/mjpaa-2023-0022

tlooto Summary

New parabolic Sobolev embedding map provides explicit embedding constant between a parabolic weighted Sobolev space and square-integrable functions on a cylinder.

Abstract

Abstract The purpose of the present article is to provide a new parabolic Sobolev embedding map between a parabolic weighted Sobolev space and the space of square-integrable functions on a cylinder. Furthermore, the embedding constant is furnished explicitly.

Citation format

AIDI, Mohammed EL. On a new parabolic sobolev embedding map. Moroccan Journal of Pure and Applied Analysis, 2023, 9: 331–338.