Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2020 13 (4)
- Authors
- Kouicem, Selma; Chikouche, Wided
- Contact information
- Kouicem, Selma: LMA, Department of Mathematics Abderrahmane Mira University Bejaia, Algeria; ; Chikouche, Wided: LMPA, Department of Mathematics Mohamed Seddik Ben Yahia University Jijel, Algeria;
- Keywords
- transmission heat equation; sums of linear operators; singular behavior; non-smooth domains
- Abstract
In this paper, we consider the transmission problem for the heat equation on a bounded plane sector in Lᵖ-Sobolev spaces. By Applying the theory of the sums of operators of Da Prato-Grisvard and Dore-Venni, we prove that the solution can be splited into a regular part in Lp-Sobolev space and an explicit singular part
- Pages
- 466–479
- DOI
- 10.17516/1997-1397-2020-13-466-479
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/135380
Journal of Siberian Federal University. Mathematics & Physics / Lᵖ Regularity of the Solution of the Heat Equation with Discontinuous Coefficients
Full text (.pdf)