非局部扩散方程基本解的点估计

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Applicable Analysis Pub Date : 2024-08-03 DOI:10.1080/00036811.2024.2372034

Changbing Hu

引用次数: 0

摘要

本文研究了R上非局部扩散模型ut=D(J∗u-u)的基本解S(t,x)的点向行为，S(t,x)可写成e-Dtδ(x)+S0(t,x)，其中S0(t,x)称为...

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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Pointwise estimates on the fundamental solution to nonlocal diffusion equation

In this article we study the pointwise behavior of the fundamental solution S(t,x) to the nonlocal diffusion model ut=D(J∗u−u) on R, S(t,x) can be written as e−Dtδ(x)+S0(t,x), where S0(t,x) is call...

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来源期刊

Applicable Analysis 数学-应用数学

CiteScore

2.60

自引率

9.10%

发文量

175

审稿时长

2 months

期刊介绍： Applicable Analysis is concerned primarily with analysis that has application to scientific and engineering problems. Papers should indicate clearly an application of the mathematics involved. On the other hand, papers that are primarily concerned with modeling rather than analysis are outside the scope of the journal General areas of analysis that are welcomed contain the areas of differential equations, with emphasis on PDEs, and integral equations, nonlinear analysis, applied functional analysis, theoretical numerical analysis and approximation theory. Areas of application, for instance, include the use of homogenization theory for electromagnetic phenomena, acoustic vibrations and other problems with multiple space and time scales, inverse problems for medical imaging and geophysics, variational methods for moving boundary problems, convex analysis for theoretical mechanics and analytical methods for spatial bio-mathematical models.