$L^p$--$L^q$ decay estimates for wave equations with monotone time-dependent dissipation
| dc.creator | Reissig, Michael | |
| dc.creator | Wirth, Jens | |
| dc.date | 2005-08-28 | |
| dc.date.accessioned | 2026-07-07T10:13:07Z | |
| dc.date.available | 2026-07-07T10:13:07Z | |
| dc.description | This expository article is intended to give an overview about recently achieved results on asymptotic properties of solutions to the Cauchy problem $u_{tt}-Δu+b(t)u_t =0,\qquad u(0,\cdot)=u_1,\quad \mathrm{D}_tu(0,\cdot)=u_2$ for a wave equation with time-dependent dissipation term. The results are based on structural properties of the Fourier multipliers representing its solution. The article explains the general philosophy behind the approach. | |
| dc.description | 15 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/0508549 | |
| dc.identifier | http://arxiv.org/abs/math/0508549 | |
| dc.identifier | RIMS Kokyuroku Nr. 1475, p. 91-106, Kyoto University, 2006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172415 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35L15; 35B45; 34E20 | |
| dc.title | $L^p$--$L^q$ decay estimates for wave equations with monotone time-dependent dissipation | |
| dc.type | text |