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.

引用

页码：185 / 201

页数：17

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