Null controllability for a singular heat equation with a memory term
In this paper we focus on the null controllability problem for the heat equation with the so-called inverse square potential and a memory term. To this aim, we first establish the null controllability for a nonhomogeneous singular heat equation by a new Carleman inequality with weights which do not...
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2021
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2021.1.14 |
| Online Access: | http://acta.bibl.u-szeged.hu/73666 |
| LEADER | 01273nas a2200229 i 4500 | ||
|---|---|---|---|
| 001 | acta73666 | ||
| 005 | 20211108095941.0 | ||
| 008 | 211108s2021 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2021.1.14 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Allal Brahim | |
| 245 | 1 | 0 | |a Null controllability for a singular heat equation with a memory term |h [elektronikus dokumentum] / |c Allal Brahim |
| 260 | |c 2021 | ||
| 300 | |a 24 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a In this paper we focus on the null controllability problem for the heat equation with the so-called inverse square potential and a memory term. To this aim, we first establish the null controllability for a nonhomogeneous singular heat equation by a new Carleman inequality with weights which do not blow up at t = 0. Then the null controllability property is proved for the singular heat equation with memory under a condition on the kernel, by means of Kakutani’s fixed-point theorem. | |
| 695 | |a Differenciálegyenlet | ||
| 700 | 0 | 1 | |a Fragnelli Genni |e aut |
| 700 | 0 | 1 | |a Salhi Jawad |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73666/1/ejqtde_2021_014.pdf |z Dokumentum-elérés |