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Classification of Asymptotic Profiles for Nonlinear Schr\"odinger Equations with Small Initial Data

(2002)

Cited: 59|Views27
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Abstract

We consider a nonlinear Schr\"odinger equation with a bounded local potential in $R^3$. The linear Hamiltonian is assumed to have two bound states with the eigenvalues satisfying some resonance condition. Suppose that the initial data are localized and small in $H^1$. We prove that exactly three local-in-space behaviors can occur as the t...More

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