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.
Aldizkaria:
Journal of Differential Equations

ISSN: 0022-0396

Argitalpen urtea: 2017

Alea: 262

Zenbakia: 2

Orrialdeak: 1155-1160

Mota: Artikulua

DOI: 10.1016/J.JDE.2016.09.029 GOOGLE SCHOLAR lock_openSarbide irekia editor

Beste argitalpen batzuk: Journal of Differential Equations

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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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Erreferentzia bibliografikoak

  • Achleitner, (2014), J. Differential Equations, 257, pp. 720, 10.1016/j.jde.2014.04.015
  • Achleitner, (2011), J. Differential Equations, 250, pp. 2177, 10.1016/j.jde.2010.11.015
  • Kilbas, (2006), vol. 204
  • Kreĭn, (1958), Uspekhi Mat. Nauk, 13, pp. 3
  • Lieb, (1997), vol. 14
  • Wiener, (1931), Sitz.ber. Preuss. Akad. Wiss. Berl., XXXI, pp. 696