非紧黎曼流形Schrödinger方程解的L∞有界性

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-05-14 DOI:10.1016/j.jde.2025.113413

Giuseppina Barletta

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引用次数: 0

摘要

我们对具有可积变号势的Schrödinger型方程解的有界性感兴趣。有界性的充分条件依赖于一个函数的可积性，该函数既涉及定义域的等容函数，又涉及势的负部分的递减重排。

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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L∞ boundedness of the solutions to the Schrödinger equation on noncompact Riemannian manifolds

We are interested in the boundedness of the solutions to a Schrödinger type equation, with an integrable, sign changing potential. The sufficient condition for the boundedness relies on the integrability of a function involving both the isocapacitary function of the domain and the decreasing rearrangement of the negative part of the potential.

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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