反常方程解的节点集

IF 0.2 Q4 MATHEMATICS

Bruno Pini Mathematical Analysis Seminar Pub Date : 2019-12-31 DOI:10.6092/ISSN.2240-2829/10367

Giorgio Tortone

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引用次数: 0

摘要

本文着重于特定退化或奇异方程解的节点集的几何理论分析。由于它们属于Muckenhoupt类A_2，这些算子出现在Fabes、Kenig、Jerison和Serapioni的开创性著作中。特别是，在过去的十年里，由于它们与分数拉普拉斯算子的局部实现有关，它们最近引起了很多关注。我们的目标是本着Hardt、Simon、Han和Lin的开创性著作的精神，一窥这类方程的节点解集的完整理论。

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The nodal set of solutions to anomalous equations

This note focuses on the geometric-theoretic analysis of the nodal set of solutions to specific degenerate or singular equations. As they belong to the Muckenhoupt class A_2, these operators appear in the seminal works of Fabes, Kenig, Jerison and Serapioni. In particular, they have recently attracted a lot of attention in the last decade due to their link to the local realization of the fractional Laplacian. The goal is to get a glimpse of the complete theory of the nodal set of solutions of such equations in the spirit of the seminal works of Hardt, Simon, Han and Lin.

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来源期刊

Bruno Pini Mathematical Analysis Seminar MATHEMATICS-

CiteScore

0.30

自引率

0.00%

发文量

审稿时长

15 weeks