FAST PROPAGATION FOR FRACTIONAL KPP EQUATIONS WITH SLOWLY DECAYING INITIAL CONDITIONS

Author	dc.contributor.author	Felmer Aichele, Patricio	es_CL
Author	dc.contributor.author	Yangari, Miguel
Admission date	dc.date.accessioned	2014-01-23T18:49:46Z
Available date	dc.date.available	2014-01-23T18:49:46Z
Publication date	dc.date.issued	2013
Cita de ítem	dc.identifier.citation	SIAM J. MATH. ANAL.	en_US
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/126264
General note	dc.description	Artículo de publicación ISI.	en_US
Abstract	dc.description.abstract	In this paper we study the large-time behavior of solutions of one-dimensional fractional Fisher-KPP reaction-diffusion equations, when the initial condition is asymptotically frontlike and it decays at infinity more slowly than a power x−b, where b < 2α and α ∈ (0, 1) is the order of the fractional Laplacian. We prove that the level sets of the solutions move exponentially fast as time goes to infinity. Moreover, a quantitative estimate of motion of the level sets is obtained in terms of the decay of the initial condition.	en_US
Lenguage	dc.language.iso	en	en_US
Publisher	dc.publisher	Society for Industrial and Applied Mathematics	en_US
Type of license	dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Chile	*
Link to License	dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/cl/	*
Keywords	dc.subject	fractional reaction-diffusion	en_US
Título	dc.title	FAST PROPAGATION FOR FRACTIONAL KPP EQUATIONS WITH SLOWLY DECAYING INITIAL CONDITIONS	en_US
Document type	dc.type	Artículo de revista

Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Chile