Decay of solutions of non-homogenous hyperbolic equations
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911919132114944 |
|---|---|
| author | Bies, Piotr Michał |
| author_facet | Bies, Piotr Michał |
| contents | We consider conditions for the decay in time of solutions of non-homogenous hyperbolic equations. It is proven that solutions of the equations go to $0$ in $L^2$ at infinity if and only if an equation's right-hand side uniquely determines the initial conditions in a certain way. We also obtain that a hyperbolic equation has a unique solution that fades when $t\to\infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_10592 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Decay of solutions of non-homogenous hyperbolic equations Bies, Piotr Michał Analysis of PDEs We consider conditions for the decay in time of solutions of non-homogenous hyperbolic equations. It is proven that solutions of the equations go to $0$ in $L^2$ at infinity if and only if an equation's right-hand side uniquely determines the initial conditions in a certain way. We also obtain that a hyperbolic equation has a unique solution that fades when $t\to\infty$. |
| title | Decay of solutions of non-homogenous hyperbolic equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2406.10592 |