Solvability of Some Integro-Differential Equations with Transport and Concentrated Sources

被引：0

作者：

Efendiev, Messoud ^{[1
,2
]}

Vougalter, Vitali ^{[3
]}

机构：

[1] Helmholtz Zentrum Munchen, Inst Computat Biol, Ingolstadter Landstr 1, D-85764 Neuherberg, Germany

[2] Marmara Univ, Dept Math, Istanbul, Turkiye

[3] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2024年 / 36卷 / 03期

关键词：

Integro-differential equations; Dirac delta function; Non-Fredholm operators; Sobolev spaces; NONLINEAR SCHRODINGER-EQUATION; PROPERNESS PROPERTIES; ELLIPTIC-OPERATORS; HOLDER THEORY; FREDHOLM; DIFFUSION; DIRICHLET; EXISTENCE; SYSTEMS;

D O I：

10.1007/s10884-022-10212-8

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 in the case of the normal diffusion and the influx/efflux term proportional to the Dirac delta function in the presence of the drift term. 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 and discuss how the introduction of the transport term influences the regularity of the solutions.

引用

页码：1967 / 1980

页数：14

共 43 条

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