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Please use this identifier to cite or link to this item: http://dspace.utalca.cl/handle/1950/9165

Title: On uniqueness of semi-wavefronts
Authors: Aguerrea, M.
Gomez, C.
Trofimchuk, S.
Issue Date: Sep-2012
Publisher: SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Citation: MATHEMATISCHE ANNALEN Volume: 354 Issue: 1 Pages: 73-109
Abstract: Motivated by the uniqueness problem for monostable semi-wave-fronts, we propose a revised version of the Diekmann and Kaper theory of a nonlinear convolution equation. Our version of the Diekmann-Kaper theory allows (1) to consider new types of models which include nonlocal KPP type equations (with either symmetric or anisotropic dispersal), nonlocal lattice equations and delayed reaction-diffusion equations; (2) to incorporate the critical case (which corresponds to the slowest wavefronts) into the consideration; (3) to weaken or to remove various restrictions on kernels and nonlinearities. The results are compared with those of Schumacher (J Reine Angew Math 316: 54-70, 1980), Carr and Chmaj (Proc Am Math Soc 132: 2433-2439, 2004), and other more recent studies.
Description: Trofimchuk, S (reprint author), Univ Talca, Inst Matemat & Fis, Casilla 747, Talca, Chile.
URI: http://dspace.utalca.cl/handle/1950/9165
ISSN: 0025-5831
Appears in Collections:Artículos en publicaciones ISI - Universidad de Talca

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