Entire Solutions for Bistable Lattice Differential Equations with Obstacles is popular PDF and ePub book, written by Aaron Hoffman in 2017, it is a fantastic choice for those who relish reading online the Differential equations genre. Let's immerse ourselves in this engaging Differential equations book by exploring the summary and details provided below. Remember, Entire Solutions for Bistable Lattice Differential Equations with Obstacles can be Read Online from any device for your convenience.
Entire Solutions for Bistable Lattice Differential Equations with Obstacles Book PDF 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 v.
Detail Book of Entire Solutions for Bistable Lattice Differential Equations with Obstacles PDF
- Author : Aaron Hoffman
- Release : 01 October 2024
- Publisher : Unknown
- ISBN : 1470442000
- Genre : Differential equations
- Total Page : 119 pages
- Language : English
- PDF File Size : 21,6 Mb
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