We consider a nonlinear Schrodinger equation (NLS) with a very general nonlinear term and with a trapping delta potential on the line. We then discuss the asymptotic behavior of all its small solutions, generalizing a recent result by Masaki, Murphy, and Segata [Anal. PDE, to appear] by means of virial-like inequalities. We give also a result of dispersion in the case of defocusing equations with a nontrapping delta potential.
ON STABILITY OF SMALL SOLITONS OF THE 1-D NLS WITH A TRAPPING DELTA POTENTIAL
Scipio Cuccagna
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2019-01-01
Abstract
We consider a nonlinear Schrodinger equation (NLS) with a very general nonlinear term and with a trapping delta potential on the line. We then discuss the asymptotic behavior of all its small solutions, generalizing a recent result by Masaki, Murphy, and Segata [Anal. PDE, to appear] by means of virial-like inequalities. We give also a result of dispersion in the case of defocusing equations with a nontrapping delta potential.File in questo prodotto:
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