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
- Vjacheslav A. Yurko, Recovering Higher-order Differential Operators on Star-type Graphs from Spectra , CUBO, A Mathematical Journal: Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal
- Constantin Corduneanu, Some special classes of neutral functional differential equations , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
- Paul W. Eloe, Positive Operators and Maximum Principles for Ordinary Differential Equations , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
- René Erlín Castillo, Babar Sultan, A derivative-type operator and its application to the solvability of a nonlinear three point boundary value problem , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Aboudramane Guiro, Idrissa Ibrango, Stanislas Ouaro, Weak homoclinic solutions to discrete nonlinear problems of Kirchhoff type with variable exponents , CUBO, A Mathematical Journal: Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal
- Giuseppe Da Prato, Elliptic operators with infinitely many variables , CUBO, A Mathematical Journal: Vol. 6 No. 2 (2004): CUBO, A Mathematical Journal
- Kazuo Nishimura, John Stachurski, Discrete Time Models in Economic Theory , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- W. Tutschke, Interactions between partial differential equations and generalized analytic functions , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- Michael J. Mezzino, Numerical Solutions of Ordinary Differential Equations , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- Matt Insall, Substitutions of the Independent Variable in Linear Differential Equations , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
<< < 9 10 11 12 13 14 15 16 17 18 19 20 > >>
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
