| dc.creator | Solar, Abraham | |
| dc.date | 2020-06-28T02:32:39Z | |
| dc.date | 2020-06-28T02:32:39Z | |
| dc.date | 2019-10 | |
| dc.date.accessioned | 2022-10-18T12:07:40Z | |
| dc.date.available | 2022-10-18T12:07:40Z | |
| dc.identifier | Discrete and Continuous Dynamical Systems, Volume 39, Issue 10, October 2019, pages: 5799-5823 | |
| dc.identifier | http://repositoriodigital.ucsc.cl/handle/25022009/2054 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4441688 | |
| dc.description | Artículo de publicación SCOPUS | |
| dc.description | Abstract. This paper deals with the stability of semi-wavefronts to the following delay non-local monostable equation: ˙ v(t,x) = ∆v(t,x) − v(t,x) +R Rd K(y)g(v(t−h,x−y))dy,x ∈Rd, t > 0; where h > 0 and d ∈Z+. We give two general results for d ≥ 1: on the global stability of semi-wavefronts in Lpspaces with unbounded weights and the local stability of planar wavefronts in Lp-spaces with bounded weights. We also give a global stability result for d = 1 which yields to the global stability in Sobolev spaces with bounded weights. Here g is not assumed to be monotone and the kernel K is not assumed to be symmetric, therefore non-monotone semi-wavefronts and backward semiwavefronts appear for which we show their stability. In particular, the global stability of critical wavefronts is stated. | |
| dc.language | en | |
| dc.publisher | Discrete and Continuous Dynamical Systems | |
| dc.source | https://www.aimsciences.org/article/doi/10.3934/dcds.2019255 | |
| dc.subject | Delay equations | |
| dc.subject | Global stability | |
| dc.subject | Local stability | |
| dc.subject | Non-local equations | |
| dc.subject | Non-monotone wavefronts | |
| dc.subject | Semi-wavefronts | |
| dc.title | Stability of non-monotone and backward waves for delay non-local reaction-diffusion equations | |
| dc.type | Artículos de revistas | |
