论 Rm 中高阶狄拉克算子边界值问题的好求性

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2024-11-06 DOI:10.1016/j.jde.2024.10.036

Daniel Alfonso Santiesteban , Ricardo Abreu Blaya , Juan Bory Reyes

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引用次数: 0

摘要

克利福德分析为统一处理高维现象提供了合适的框架。本文关注高阶狄拉克算子的边界值问题，这些问题与拉梅-纳维尔算子和迭代拉普拉斯算子直接相关。这些问题在所考虑的域的边界上的条件确保了它们在哈达玛德意义上的好求解性。

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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On the well-posedness of boundary value problems for higher order Dirac operators in Rm

Clifford analysis offers suited framework for a unified treatment of higher-dimensional phenomena. This paper is concerned with boundary value problems for higher order Dirac operators, which are directly related to the Lamé-Navier and iterated Laplace operators. The conditioning of the problems upon the boundaries of the considered domains ensures their well-posedness in the sense of Hadamard.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics