Entire solutions for bistable lattice differential equations with obstacles / A. Hoffman, H. J. Hupkes, E.S. Van Vleck

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Memoirs of the American Mathematical Society ; volume 250, number 1188Publisher: Providence, Rhode Island : American Mathematical Society, 2017Description: 1 Online-Ressource (v, 119 pages)Subject(s): Additional physical formats: 1470422018 | 9781470422011 | 1470442000. | 9781470442002. | Erscheint auch als: No title Druck-Ausgabe | Print version: Entire solutions for bistable lattice differential equations with obstacles. Providence, Rhode Island : American Mathematical Society, [2017]DDC classification:
  • 515/.35
MSC: MSC: *34-02 | 34A33 | 35B08 | 35C07LOC classification:
  • QA171.5
Online resources: Summary: "We consider scalar lattice differential equations posed on square lattices in two space dimensions. Under certain natural conditions we show that wave-like solutions exist when obstacles (characterized by "holes") are present in the lattice. Our work generalizes to the discrete spatial setting the results obtained in Berestycki, Hamel, and Matuno (2009) for the propagation of waves around obstacles in continuous spatial domains. The analysis hinges upon the development of sub and super-solutions for a class of discrete bistable reaction-diffusion problems and on a generalization of a classical result due to Aronson and Weinberger that concerns the spreading of localized disturbances."--Page vPPN: PPN: 1019004967Package identifier: Produktsigel: ZDB-4-NLEBK
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