de A. Capistrano-Filho Roberto and de Jesus Isadora Maria and Gonzalez Martinez Victor Hugo: Infinite memory effects on the stabilization of a biharmonic Schrödinger equation. (2023)
![[thumbnail of ejqtde_2023_039.pdf]](http://acta.bibl.u-szeged.hu/style/images/fileicons/full.png) |
Teljes mű
ejqtde_2023_039.pdf Download (541kB) |
Abstract
This paper deals with the stabilization of the linear biharmonic Schrödinger equation in an n-dimensional open bounded domain under Dirichlet–Neumann boundary conditions considering three infinite memory terms as damping mechanisms. We show that depending on the smoothness of initial data and the arbitrary growth at infinity of the kernel function, this class of solution goes to zero with a polynomial decay rate like t −n depending on assumptions about the kernel function associated with the infinite memory terms.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2023 |
| Number: | 39 |
| ISSN: | 1417-3875 |
| Number of Pages: | 23 |
| Language: | English |
| Place of Publication: | Szeged |
| DOI: | 10.14232/ejqtde.2023.1.39 |
| Uncontrolled Keywords: | Schrödinger egyenlet, Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 22-23. ; összefoglalás angol nyelven |
| Date Deposited: | 2023. Nov. 16. 15:28 |
| Last Modified: | 2023. Nov. 16. 15:28 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/82289 |
Actions (login required)
 |
View Item |
