Asymptotic properties of solutions to weakly dissipative wave equations below scaling
| dc.creator | Wirth, Jens | |
| dc.date | 2004-06-25 | |
| dc.date | 2004-07-27 | |
| dc.date.accessioned | 2026-07-07T06:30:29Z | |
| dc.date.available | 2026-07-07T06:30:29Z | |
| dc.description | The aim of this paper is to understand the influence of a dissipative term which is small in the sense that it is asymptotically below scaling on the asymptotic properties of solutions. A diagonalization procedure is applied in order to construct the main terms of the solution representation and this information is used to prove $L^p$--$L^q$ decay estimates. Furthermore, the question of sharpness is considered and formulated in terms of a modified scattering theory. | |
| dc.description | 23 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0406515 | |
| dc.identifier | http://arxiv.org/abs/math/0406515 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98353 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 35L15; 35B45 | |
| dc.title | Asymptotic properties of solutions to weakly dissipative wave equations below scaling | |
| dc.type | text |