Small Data Global Existence and Scattering for the Mass-Critical Nonlinear Schrödinger Equation with Power Convolution in ℳ
-
George Venkov
gvenkov@tu-sofia.bg
Downloads
Abstract
The main purpose of the present paper is to consider the well-posedness of the L2-critical nonlinear Schrödinger equation of a Hartree type
ð’¾âˆ‚tψ + △ψ = (|x|−1 ∗ |ψ|8/3)ψ, (t, x) ∈ â„+ × â„3.
More precisely, we shall establish the local existence of solutions for initial data ψ0 in L2(â„3), as well as the existence of global solutions for small initial data. Moreover, we shall prove the existence of scattering operator.
Keywords
Similar Articles
- Essozimna Kpizim, Bertin Dehigbe, Ramkumar Kasinathan, Ravikumar Kasinathan, Mamadou Abdoul Diop, Approximate controllability of non-instantaneous impulsive stochastic integrodifferential equations driven by Rosenblatt process via resolvent operators , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Ziqi Sun, Conjectures in Inverse Boundary Value Problems for Quasilinear Elliptic Equations , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
- L. K. Kikina, I.P. Stavroulakis, A Survey on the Oscillation of Solutions of First Order Delay Difference Equations , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
- George A. Anastassiou, Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators , CUBO, A Mathematical Journal: Vol. 20 No. 1 (2018)
- Rubén A. Hidalgo, Totally Degenerate Extended Kleinian Groups , CUBO, A Mathematical Journal: Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal
- 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)
- Man Chun Leung, Concentration of solutions of non-linear elliptic equations involving critical Sobolev exponent , CUBO, A Mathematical Journal: Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal
- D. G. Prakasha, H. Harish, P. Veeresha, Venkatesha, The Zamkovoy canonical paracontact connection on a para-Kenmotsu manifold , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Volodymyr Sushch, Discrete model of Yang-Mills equations in Minkowski space , CUBO, A Mathematical Journal: Vol. 6 No. 2 (2004): CUBO, A Mathematical Journal
- Chao-Ping Chen, Ai-Qi Liu, Feng Qi, Proofs for the Limit of Ratios of Consecutive Terms in Fibonacci Sequence , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
<< < 11 12 13 14 15 16 17 18 19 20 21 22 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2009-09-01
How to Cite
[1]
G. Venkov, “Small Data Global Existence and Scattering for the Mass-Critical Nonlinear Schrödinger Equation with Power Convolution in ℳ”, CUBO, vol. 11, no. 4, pp. 15–28, Sep. 2009.
Issue
Section
Articles
