On a New Parabolic Sobolev Embedding Map

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.

Keywords

• multiplicity of covering parabolic capacity
• parabolic operator
• negligibility set
• parabolic capacitary interior diameter
• primary 32u20
• 46e35
• secondary 58j35