Solvability of some integro-differential equations with anomalous diffusion in higher dimensions. Issue 1 (2nd January 2021)

• Record Type: Journal Article
• Authors: Vougalter, Vitali
• Is Part Of: Complex variables and elliptic equations. Volume 66:Issue 1(2021)
• Page Start: 165
• Page End: 179
• Publication Date: 2021-01-02
• Subjects: V. Volpert; Integro-differential equations -- non Fredholm operators -- Sobolev spaces; 35R11 -- 35A01 -- 35P30 -- 47F05; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2019.1709970
• Languages: English
• ISSNs: 1747-6933

Abstract

ABSTRACT: The article deals with the studies of the existence of solutions of an integro-differential equation in the case of the anomalous diffusion with the negative Laplace operator in a fractional power in R d, d = 4, 5. The proof of the existence of solutions relies on a fixed point technique. Solvability conditions for non Fredholm elliptic operators in unbounded domains are used.