Asymptotic behavior of solutions to the multidimensional semidiscrete diffusion equation

We study the asymptotic behavior of solutions to the multidimensional diffusion (heat) equation with continuous time and discrete space. We focus on initial-value problems with bounded initial data, and provide sufficient conditions for the existence of pointwise and uniform limits of solutions.

Bibliographic Details
Main Author: Antonín Slavík
Format: Article
Language:English
Published: University of Szeged 2022-02-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9647