Solvability of some integro-differential equations with concentrated sources

被引：3
作者：
Vougalter, Vitali [1 ]
机构：
[1] Univ Toronto, Dept Math, Toronto, ON, Canada
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2022年 / 67卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Integro-differential equations; Dirac delta function; non Fredholm operators; Sobolev spaces; HOLDER THEORY; FREDHOLM; DIRICHLET; OPERATORS;
D O I：
10.1080/17476933.2020.1851213
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The work deals with the existence of solutions of an integro-differential equation in the case of the normal diffusion and the influx/efflux term proportional to the Dirac delta function. The proof of the existence of solutions is based on a fixed point technique. Solvability conditions for non Fredholm elliptic operators in unbounded domains are used.
引用
收藏
页码：975 / 987
页数：13
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