Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898689 | Journal of Differential Equations | 2018 | 26 Pages |
Abstract
In this paper we consider a semilinear parabolic equation in an infinite cylinder. The spatially varying nonlinearity is such that it connects two (spatially independent) bistable nonlinearities in a compact set in space. We prove that, given such a setting, a traveling wave obeying the equation with the one bistable nonlinearity and starting at the respective side of the cylinder, will converge to a traveling wave solution prescribed by the nonlinearity on the other side.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Simon Eberle,