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

IF 0.6 4区数学 Q3 MATHEMATICS

Complex Variables and Elliptic Equations Pub Date : 2023-07-09 DOI:10.1080/17476933.2023.2229745

M. Efendiev, V. Vougalter

引用次数: 0

Abstract

: The article is devoted to the existence of solutions of a system of integro-differential equations involving the drift terms 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 is based on a ﬁxed point technique. We use the solvability conditions for the non- Fredholm elliptic operators in unbounded domains. We emphasize that the study of the systems is more difﬁcult than of the scalar case and requires to overcome more cumbersome technicalities. , ,

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本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Complex Variables and Elliptic Equations MATHEMATICS-

CiteScore

2.00

自引率

11.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Complex Variables and Elliptic Equations is devoted to complex variables and elliptic equations including linear and nonlinear equations and systems, function theoretical methods and applications, functional analytic, topological and variational methods, spectral theory, sub-elliptic and hypoelliptic equations, multivariable complex analysis and analysis on Lie groups, homogeneous spaces and CR-manifolds. The Journal was formally published as Complex Variables Theory and Application.