Existence of asymptotically free solutions for quadratic nonlinear Schrödinger equations in 3d
-
Nakao Hayashi
nhayashi@math.wani.osaka-u.ac.jp
-
Pavel l. Naumkin
pavelni@matmor.unam.mx
Downloads
Abstract
We study asymptotic behavior in time of solutions to nonlinear Schrödinger equations in three space dimensions with quadratic nongauge invariant nonlinearities. Due to the oscillation properties of such nonlinearities the time decay estimates are faster comparing with the case of guge invariant nonlinearities. We prove the existence of solutions to the final problem and large time asymptotics.
Keywords
Similar Articles
- Nadjet Abada, Mouffak Benchohra, Hadda Hammouche, Existence Results for Semilinear Differential Evolution Equations with Impulses and Delay , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Tingxiu Wang, Some General Theorems on Uniform Boundedness for Functional Differential Equations , CUBO, A Mathematical Journal: Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal
- Saulius Minkevicius, Analysis of the Component-Based Reliability in Computer Networks , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- I. M. Proudnikov, Stochastic model of money flow in economics , CUBO, A Mathematical Journal: Vol. 9 No. 3 (2007): CUBO, A Mathematical Journal
- K. Rajendra Prasad, Mahammad Khuddush, K. V. Vidyasagar, Infinitely many positive solutions for an iterative system of singular BVP on time scales , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Khalida Aissani, Mouffak Benchohra, Nadia Benkhettou, On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous Impulses , CUBO, A Mathematical Journal: Vol. 21 No. 1 (2019)
- Shruti A. Kalloli, José Vanterler da C. Sousa, Kishor D. Kucche, On the \(\Phi\)-Hilfer iterative fractional differential equations , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
- H. O. Fattorini, Regular and Strongly Regular Time and Norm Optimal Controls , CUBO, A Mathematical Journal: Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal
- Fernando Cardoso, Claudio Cuevas, Georgi Vodev, Dispersive Estimates for the Schrödinger Equation with Potentials of Critical Regularity , CUBO, A Mathematical Journal: Vol. 11 No. 5 (2009): CUBO, A Mathematical Journal
- S. Minkevicius, About cumulative idle time model of the message switching system , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
<< < 3 4 5 6 7 8 9 10 11 12 13 14 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2007-04-01
How to Cite
[1]
N. Hayashi and P. l. Naumkin, “Existence of asymptotically free solutions for quadratic nonlinear Schrödinger equations in 3d”, CUBO, vol. 9, no. 1, pp. 27–37, Apr. 2007.
Issue
Section
Articles
