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Entire solutions for bistable lattice differential equations with obstacles

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 discret...

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Detalles Bibliográficos
Autores principales: Hoffman, Aaron, Hupkes, Hermen, Vleck, E S Van
Lenguaje:eng
Publicado: American Mathematical Society 2018
Materias:
Acceso en línea:http://cds.cern.ch/record/2312820