科研之友
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摘要
We prove decay and scattering of solutions of the nonlinear Schrodinger equation (NLS) in with pure power nonlinearity with exponent 3<p<5 when the initial datum is small in sigma (bounded energy and variance) in the presence of a linear inhomogeneity represented by a linear potential that is a real-valued Schwarz function. We assume absence of discrete modes. The proof is analogous to the one for the translation-invariant equation. In particular, we find appropriate operators commuting with the linearization.
- 出版日期2014-6
