涉及伪相对论薛定谔算子的抛物方程的渐近特性

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-06-01 DOI:10.1007/s10255-024-1097-4

Chen Qiao, Su-fang Tang

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引用次数: 0

摘要

本文研究了涉及非局部伪相对论薛定谔算子 (-Δ + m2)s 的抛物方程，其中 s∈ (0, 1) 和质量 m > 0 在有界区域内。我们建立了反对称函数的渐近窄区原理和渐近强最大原理。作为应用，我们利用移动平面的方法，证明了单位球内正解的渐近径向对称性和单调性。

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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Asymptotic Property of Parabolic Equations Involving Pseudo-relativistic Schrödinger Operators

In this paper, we investigate parabolic equations involving nonlocal pseudo-relativistic Schrödinger operators (−Δ + m²)^s with s ∈ (0, 1) and mass m > 0 in bounded regions. We establish the asymptotic narrow region principle and asymptotic strong maximum principle for anti symmetric function. As applications, employing the method of moving planes, we show the asymptotical radial symmetry and monotonicity of positive solutions in an unit ball.

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来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.