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
- Rinko Shinzato, Wataru Takahashi, A Strong Convergence Theorem by a New Hybrid Method for an Equilibrium Problem with Nonlinear Mappings in a Hilbert Space , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Mircea Balaj, Donal O‘Regan, An Intersection Theorem and its Applications , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Toufik Moussaoui, Radu Precup, Positive Solutions for Elliptic Boundary Value Problems with a Harnack-Like Property , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Seppo Heikkila, Fixed Point Results for Set-Valued and Single-Valued Mappings in Ordered Spaces , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Ravi P. Agarwal, Michael E. Filippakis, Donal O‘Regan, Nikolaos S. Papageorgiou, Multiple Solutions for Doubly Resonant Elliptic Problems Using Critical Groups , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Miki Matsuo, Kazuo Nishimura, Tomoya Sakagami, Alain Venditti, Equilibrium Cycles in a Two-Sector Economy with Sector Specific Externality , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Valery A. Gaiko, Limit Cycles of Li´enard-Type Dynamical Systems , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- J¨orn Steuding, The Fibonacci Zeta-Function is Hypertranscendental , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- M.I. Belishev, Dynamical Inverse Problem for the Equation ð’°áµ¼áµ¼ − Δ𒰠− ∇ln𜌠· ∇𒰠= 0 (the BC Method) , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- Masaru Ikehata, A Remark on the Enclosure Method for a Body with an Unknown Homogeneous Background Conductivity , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
<< < 14 15 16 17 18 19 20 21 22 23 24 25 > >>
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
