Decay of mass for nonlinear equation with fractional Laplacian
| dc.creator | Fino, Ahmad | |
| dc.creator | Karch, Grzegorz | |
| dc.date | 2008-12-29 | |
| dc.date.accessioned | 2026-07-07T12:23:06Z | |
| dc.date.available | 2026-07-07T12:23:06Z | |
| dc.description | The large time behavior of nonnegative solutions to the reaction-diffusion equation $\partial_t u=-(-Δ)^{α/2}u - u^p,$ $(α\in(0,2], p>1)$ posed on $\mathbb{R}^N$ and supplemented with an integrable initial condition is studied. We show that the anomalous diffusion term determines the large time asymptotics for $p>1+α/{N},$ while nonlinear effects win if $p\leq1+α/{N}.$ | |
| dc.identifier | https://arxiv.org/abs/0812.4977 | |
| dc.identifier | http://arxiv.org/abs/0812.4977 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213871 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35K55, 35B40, 60H99 | |
| dc.title | Decay of mass for nonlinear equation with fractional Laplacian | |
| dc.type | text |