一类具有输运和集中源的积分微分方程组的可解性

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

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引用次数: 0

摘要

本文讨论了在正常扩散情况下包含漂移项和与狄拉克函数成比例的流入/流出项的积分-微分方程组解的存在性。解的存在性证明是基于不动点技术的。利用无界域上非Fredholm椭圆算子的可解性条件。我们强调，系统的研究比标量情况的研究更困难，需要克服更繁琐的技术问题。，，

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

: 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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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.