Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774078 | Journal of Differential Equations | 2017 | 6 Pages |
Abstract
We add a theorem to F. Achleitner, C.M. Cuesta and S. Hittmeir (2014) [1]. In that paper we studied travelling wave solutions of a Korteweg-de Vries-Burgers type equation with a non-local diffusion term. In particular, the proof of existence and uniqueness of these waves relies on the assumption that the exponentially decaying functions are the only bounded solutions of the linearised equation. In this addendum we prove this assumption and thus close the existence and uniqueness proof of travelling wave solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
C.M. Cuesta, F. Achleitner,