# American Institute of Mathematical Sciences

August  2015, 35(8): 3343-3376. doi: 10.3934/dcds.2015.35.3343

## On weak interaction between a ground state and a trapping potential

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

Received  April 2014 Revised  December 2014 Published  February 2015

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.
Citation: Scipio Cuccagna, Masaya Maeda. On weak interaction between a ground state and a trapping potential. Discrete & Continuous Dynamical Systems, 2015, 35 (8) : 3343-3376. doi: 10.3934/dcds.2015.35.3343
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##### References:
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