On weak interaction between  a ground state and a  trapping  potential

Scipio Cuccagna; Masaya Maeda

doi:10.3934/dcds.2015.35.3343

Article Contents

2015, Volume 35, Issue 8: 3343-3376. Doi: 10.3934/dcds.2015.35.3343

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On weak interaction between a ground state and a trapping potential

Scipio Cuccagna^1, and
Masaya Maeda^2,

1.
Department of Mathematics and Geosciences, University of Trieste, via Valerio 12/1 Trieste, 34127
2.
Department of Mathematics and Informatics, Faculty of Science, Chiba University, Chiba 263-8522

Received: March 31, 2014

Revised: November 30, 2014

Published: May 2017

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Abstract

We continue our study initiated in [4] of the interaction of a ground state with a potential considering here a class of trapping potentials. We track the precise asymptotic behavior of the solution if the interaction is weak, either because the ground state moves away from the potential or is very fast.

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Mathematics Subject Classification: Primary: 35Q55.

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References

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