摄动分数阶拉普拉斯算子的主特征值问题

IF 0.7 Q2 MATHEMATICS Tamkang Journal of Mathematics Pub Date : 2021-02-04 DOI:10.5556/J.TKJM.52.2021.3209

Guangyu Zhao

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引用次数: 2

摘要

研究了摄动分数阶拉普拉斯算子和包含分数阶拉普拉斯算子的弱耦合合作系统的主特征值的各种基本性质。本文将二阶线性椭圆算子的主特征值的一些已知性质推广到微扰分数阶拉普拉斯算子。所建立的结果也被用于研究种群模型的时空动态。

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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The Principal Eigenvalue Problems for Perturbed Fractional Laplace Operators

We study a variety of basic properties of the principal eigenvalue of a perturbed fractional Laplace operator and weakly coupled cooperative systems involving fractional Laplace operators. Our work extends a number of well-known properties regarding the principal eigenvalues of linear second-order elliptic operators with Dirichlet boundary condition to perturbed fractional Laplace operators. The establish results are also utilized to investigate the spatio-temporary dynamics of population models.

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来源期刊

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.