On fractional parabolic equations with Hardy-type potentials

IF 1.2 2区数学 Q1 MATHEMATICS

Communications in Contemporary Mathematics Pub Date : 2024-02-14 DOI:10.1142/s0219199723500621

Veronica Felli, Ana Primo, Giovanni Siclari

引用次数: 0

Abstract

A classification of local asymptotic profiles and strong unique continuation properties are established for a class of fractional heat equations with a Hardy-type potential, via an Almgren–Poon monotonicity formula combined with a blow-up analysis.

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关于具有哈代型势能的分数抛物方程

通过 Almgren-Poon 单调性公式与吹胀分析相结合，为一类具有哈代型势能的分数热方程建立了局部渐近剖面分类和强唯一延续特性。

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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来源期刊

Communications in Contemporary Mathematics 数学-数学

CiteScore

2.90

自引率

6.20%

发文量

审稿时长

>12 weeks

期刊介绍： With traditional boundaries between various specialized fields of mathematics becoming less and less visible, Communications in Contemporary Mathematics (CCM) presents the forefront of research in the fields of: Algebra, Analysis, Applied Mathematics, Dynamical Systems, Geometry, Mathematical Physics, Number Theory, Partial Differential Equations and Topology, among others. It provides a forum to stimulate interactions between different areas. Both original research papers and expository articles will be published.