Existence of stationary solutions for some integro-differential equations with superdiffusion

被引：1
|
作者：
Vougalter, Vitali [1 ]
Volpert, Vitaly [2 ]
机构：
[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada
[2] Univ Lyon 1, CNRS, Inst Camille Jordan, UMR 5208, F-69622 Villeurbanne, France
来源：
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2017年 / 137卷
关键词：
Integro-differential equations; non Fredholm operators; Sobolev spaces; SOLVABILITY CONDITIONS; ANOMALOUS DIFFUSION; HOLDER THEORY; DIRICHLET; OPERATORS; PROPERTY;
D O I：
10.4171/RSMUP/137-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The work deals with the existence of solutions of an integro-differential equation arising in population dynamics in the case of anomalous diffusion. The proof of existence of solutions relies on a fixed point technique. Solvability conditions for non-Fredholm elliptic operators in unbounded domains are being used.
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页码：185 / 201
页数：17
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