Related papers: Cubic Derivative Nonlinear Schrodinger has Blowup …

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This paper is withdrawn. See quant-ph/9806031 for a discussion.

This paper has been withdraw by the auhor due to a mistake in classification of the algebra

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In this paper, we consider the Schr\"odinger equation with a mass-supercritical focusing nonlinearity, in the exterior of a smooth, compact, convex obstacle of $\R^{d}$ with Dirichlet boundary conditions. We prove that solutions with…

This paper was withdrawn by the author due to a fatal error.

We consider the nonlinear Schr\"{o}dinger equation with $L^{2}$-supercritical and $H^{1}$-subcritical power type nonlinearity. Duyckaerts and Roudenko and Campos, Farah, and Roudenko studied the global dynamics of the solutions with same…

The possibility of finite-time, dispersive blow up for nonlinear equations of Schroedinger type is revisited. This mathematical phenomena is one of the possible explanations for oceanic and optical rogue waves. In dimension one, the…

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This paper has been withdrawn by the author. Proofs of two propositions need more details.

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This paper has been withdrawn due to a crucial error in the proof of the main theorem

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