Negative Diffusion and Traveling Waves in High Dimensional Lattice Systems
نویسندگان
چکیده
We consider bistable reaction diffusion systems posed on rectangular lattices in two or more spatial dimensions. The discrete diffusion term is allowed to have periodic or even negative coefficients. We show that travelling wave solutions to such pure lattice systems exist and that they can be approximated by travelling wave solutions to a system that incorporates both local and non-local diffusion. AMS 2010 Subject Classification: 34K31, 37L60.
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عنوان ژورنال:
- SIAM J. Math. Analysis
دوره 45 شماره
صفحات -
تاریخ انتشار 2013