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.

Elmentve itt :
Bibliográfiai részletek
Szerző: Slavík Antonín
Dokumentumtípus: Folyóirat
Megjelent: 2022
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet
Tárgyszavak:
doi:10.14232/ejqtde.2022.1.9

Online Access:http://acta.bibl.u-szeged.hu/75824
Leíró adatok
Tartalmi kivonat: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.
Terjedelem/Fizikai jellemzők:9
ISSN:1417-3875