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 :
| Szerző: | |
|---|---|
| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2022
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2022.1.9 |
| Online Access: | http://acta.bibl.u-szeged.hu/75824 |
| LEADER | 01102nas a2200229 i 4500 | ||
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| 005 | 20220523153737.0 | ||
| 008 | 220523s2022 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2022.1.9 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Slavík Antonín | |
| 245 | 1 | 0 | |a Asymptotic behavior of solutions to the multidimensional semidiscrete diffusion equation |h [elektronikus dokumentum] / |c Slavík Antonín |
| 260 | |c 2022 | ||
| 300 | |a 9 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a 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. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Differenciálegyenlet | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/75824/1/ejqtde_2022_009.pdf |z Dokumentum-elérés |