关于具有哈迪型势能的薛定谔算子的分数幂

IF 0.7 3区数学 Q2 MATHEMATICS

Proceedings of the Edinburgh Mathematical Society Pub Date : 2024-04-12 DOI:10.1017/s0013091524000063

Giovanni Siclari

引用次数: 0

摘要

通过阿尔姆格伦单调性公式与吹胀分析相结合的方法，为具有哈迪型势能的薛定谔算子的分数幂建立了强唯一延续特性和渐近剖面分类。

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 fractional powers of a Schrödinger operator with a Hardy-type potential

Strong unique continuation properties and a classification of the asymptotic profiles are established for the fractional powers of a Schrödinger operator with a Hardy-type potential, by means of an Almgren monotonicity formula combined with a blow-up analysis.

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来源期刊

Proceedings of the Edinburgh Mathematical Society 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Edinburgh Mathematical Society was founded in 1883 and over the years, has evolved into the principal society for the promotion of mathematics research in Scotland. The Society has published its Proceedings since 1884. This journal contains research papers on topics in a broad range of pure and applied mathematics, together with a number of topical book reviews.