On the solvability of some systems of integro-differential equations with concentrated sources

被引：0
|
作者：
Vougalter, Vitali [1 ]
Volpert, Vitaly [2 ,3 ]
机构：
[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada
[2] Univ Lyon 1, Inst Camille Jordan, UMR CNRS 5208, F-69622 Villeurbanne, France
[3] Peoples Friendship Univ Russia, 6 Miklukho Maklaya St, Moscow 117198, Russia
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2022年 / 73卷 / 06期
关键词：
Integro-differential systems; Dirac delta function; Non-Fredholm operators; Sobolev spaces; NONLINEAR SCHRODINGER-EQUATION; PROPERNESS PROPERTIES; ELLIPTIC-OPERATORS; FREDHOLM; DIRICHLET; EXISTENCE;
D O I：
10.1007/s00033-022-01889-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The article is devoted to the existence of solutions of a system of integro-differential equations in the case of the normal diffusion and the influx/efflux terms proportional to the Dirac delta function. The proof of the existence of solutions relies on a fixed point technique. We use the solvability conditions for the non-Fredholm elliptic operators in unbounded domains.
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页数：15
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