Parametrix for a hyperbolic initial value problem with dissipation in some region
| dc.creator | Stolk, Christiaan C. | |
| dc.date | 2003-12-05 | |
| dc.date.accessioned | 2026-07-07T05:03:35Z | |
| dc.date.available | 2026-07-07T05:03:35Z | |
| dc.description | We consider the initial value problem for a pseudodifferential equation with first order hyperbolic part, and an order $γ> 0$ dissipative term. Under an assumption, depending on an integer parameter $L \geq 2$ such that $2 γ< L$, we construct for this initial value problem a parametrix that is a Fourier integral operator of type $ρ= 1 - γ/L$. The assumption implies that where the principal symbol of the dissipative term is zero, the terms of order up to $L-1$ in its Taylor series also vanish. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0312119 | |
| dc.identifier | http://arxiv.org/abs/math/0312119 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69480 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35S10 | |
| dc.title | Parametrix for a hyperbolic initial value problem with dissipation in some region | |
| dc.type | text |