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

详细信息    查看全文

• 作者：C.M. Cuesta^b ; ^{carlotamaria.cuesta@ehu.es" class="auth_mail" title="E-mail the corresponding author} ; F. Achleitner^a ; ^{franz.achleitner@tuwien.ac.at" class="auth_mail" title="E-mail the corresponding author}
• 关键词：47J35 ; 26A33 ; 35C07
• 刊名：Journal of Differential Equations
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：262
• 期：2
• 页码：1155-1160
• 全文大小：189 K

文摘

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.