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£66.50
Entire Solutions for Bistable Lattice Differential Equations with Obstacles (Memoirs of the American Mathematical Society)
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Description
About the Author Aaron Hoffman, Franklin W. Olin College of Engineering, Needham, MA.Hermen Hupkes, Mathematisch Instituut, Universiteit Leiden, The Netherlands.E.S. Van Vleck, University of Kansas, Lawrence, KS. Product Description The authors consider scalar lattice differential equations posed on square lattices in two space dimensions. Under certain natural conditions they show that wave-like solutions exist when obstacles (characterized by ""holes'') are present in the lattice. Their 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.
Product Specifications
- Format
- paperback
- ASIN
- 1470422018
- Domain
- Amazon UK
- Release Date
- 28 February 2018
- Listed Since
- 18 August 2017
Barcode
No barcode data available
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