A Sharp Condition for Scattering of the Radial 3D Cubic Nonlinear Schrödinger Equation

Author:

Holmer Justin,Roudenko Svetlana

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference33 articles.

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2. Bégout P.: Necessary conditions and sufficient conditions for global existence in the nonlinear Schrödinger equation. Adv. Math. Sci. Appl. 12(2), 817–827 (2002)

3. Cazenave, T.: Semilinear Schrödinger equations. Courant Lecture Notes in Mathematics, 10. New York: New York University, Courant Institute of Mathematical Sciences, Providence, RI: Amer. Math. Soc. 2003

4. Colliander J., Keel M., Staffilani G., Takaoka H., Tao T.: Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on $${\mathbb{R}^{3}}$$ . Comm. Pure Appl. Math. 57(8), 987–1014 (2004)

5. Colliander, J., Keel, M., Staffilani, G., Takaoka, H., Tao, T.: Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in R 3. http://arxiv.org/PS_cache/math/pdf/0402/0402129v7.pdf , 2006

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