Time Decay for Nonlinear Dissipative Schrödinger Equations in Optical Fields
Joint Authors
Naumkin, Pavel I.
Li, Chunhua
Hayashi, Nakao
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-02-14
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We consider the initial value problem for the nonlinear dissipative Schrödinger equations with a gauge invariant nonlinearity λ u p - 1 u of order p n < p ≤ 1 + 2 / n for arbitrarily large initial data, where the lower bound p n is a positive root of n + 2 p 2 - 6 p - n = 0 for n ≥ 2 and p 1 = 1 + 2 for n = 1 .
Our purpose is to extend the previous results for higher space dimensions concerning L 2 -time decay and to improve the lower bound of p under the same dissipative condition on λ ∈ C : Im λ < 0 and Im λ > p - 1 / 2 p R e λ as in the previous works.
American Psychological Association (APA)
Hayashi, Nakao& Li, Chunhua& Naumkin, Pavel I.. 2016. Time Decay for Nonlinear Dissipative Schrödinger Equations in Optical Fields. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1095821
Modern Language Association (MLA)
Hayashi, Nakao…[et al.]. Time Decay for Nonlinear Dissipative Schrödinger Equations in Optical Fields. Advances in Mathematical Physics No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1095821
American Medical Association (AMA)
Hayashi, Nakao& Li, Chunhua& Naumkin, Pavel I.. Time Decay for Nonlinear Dissipative Schrödinger Equations in Optical Fields. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1095821
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095821