Addendum to “Travelling waves for a non-local Korteweg–de Vries–Burgers equation” [J. Differential Equations 257 (3) (2014) 720–758]

  1. Cuesta, C.M.
  2. Achleitner, F.
Revista:
Journal of Differential Equations

ISSN: 0022-0396

Ano de publicación: 2017

Volume: 262

Número: 2

Páxinas: 1155-1160

Tipo: Artigo

DOI: 10.1016/J.JDE.2016.09.029 GOOGLE SCHOLAR lock_openAcceso aberto editor

Outras publicacións en: Journal of Differential Equations

Resumo

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.

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Referencias bibliográficas

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