Time Decay for Nonlinear Dissipative Schrödinger Equations in Optical Fields

Nakao Hayashi, Chunhua Li and Pavel I. Naumkin

Advances in Mathematical Physics, 2016, vol. 2016, 1-7

Abstract:

We consider the initial value problem for the nonlinear dissipative Schrödinger equations with a gauge invariant nonlinearity of order for arbitrarily large initial data, where the lower bound is a positive root of for and for Our purpose is to extend the previous results for higher space dimensions concerning -time decay and to improve the lower bound of under the same dissipative condition on : and as in the previous works.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:3702738

DOI: 10.1155/2016/3702738

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