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
- Abderemane Morame, Françoise Truc, Accuracy on eigenvalues for a Schrödinger operator with a degenerate potential in the semi-classical limit , CUBO, A Mathematical Journal: Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal
- Ciprian G. Gal, Sorin G. Gal, On Fokker-Planck and linearized Korteweg-de Vries type equations with complex spatial variables , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Mouffak Benchohra, Fatima-Zohra Mostefai, Weak Solutions of Fractional Order Pettis Integral Inclusions with Multiple Time Delay in Banach Spaces , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- J. Henderson, S.K. Ntouyas, I.K. Purnaras, Positive Solutions for Systems of Three-point Nonlinear Boundary Value Problems with Deviating Arguments , CUBO, A Mathematical Journal: Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal
- Abdeldjalil Aouane, Smaïl Djebali, Mohamed Aziz Taoudi, Mild solutions of a class of semilinear fractional integro-differential equations subjected to noncompact nonlocal initial conditions , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Ernest Yankson, Inequalities and sufficient conditions for exponential stability and instability for nonlinear Volterra difference equations with variable delay , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Ioannis K. Argyros, Saïd Hilout, On the solution of generalized equations and variational inequalities , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
- U. Traoré, Entropy solution for a nonlinear parabolic problem with homogeneous Neumann boundary condition involving variable exponents , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- A. Rodkina, On Asymptotic Stability of Nonlinear Stochastic Systems with Delay , CUBO, A Mathematical Journal: Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal
- C.M. Kirk, A Localized Heat Source Undergoing Periodic Motion: Analysis of Blow-Up and a Numerical Solution , CUBO, A Mathematical Journal: Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
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
