Standing pulses in almost periodic channels

Chao Nien Chen, Shyuh -yaur Tzeng

Research output: Contribution to journalArticle

Abstract

We use variational methods to study the existence of standing pulses in almost periodic channels. Since there is no group of symmetries as in the periodic case for which the functional is invariant, the negative gradient flow will be utilized to generate the convergent Palais-Smale sequences. Starting with suitable initial data, we prove that the infinite number of standing pulses can actually be found out in almost periodic channels.

Original languageEnglish
Pages (from-to)4575-4584
Number of pages10
JournalNonlinear Analysis, Theory, Methods and Applications
Volume69
Issue number12
DOIs
Publication statusPublished - 2008 Dec 15

Fingerprint

Almost Periodic
Gradient Flow
Variational Methods
Symmetry
Invariant

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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Standing pulses in almost periodic channels. / Chen, Chao Nien; Tzeng, Shyuh -yaur.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 69, No. 12, 15.12.2008, p. 4575-4584.

Research output: Contribution to journalArticle

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