%0 Generic %A Slavík Antonín %C Szeged %D 2022 %F acta:75824 %K Differenciálegyenlet %N 9 %T Asymptotic behavior of solutions to the multidimensional semidiscrete diffusion equation %U http://acta.bibl.u-szeged.hu/75824/ %X 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. %Z Bibliogr.: p. 8-9. ; összefoglalás angol nyelven