Related papers: Cubic Derivative Nonlinear Schrodinger has Blowup …

We prove global existence of small solutions to the initial value problem for a class of cubic derivative nonlinear Schr\"odinger systems with the masses satisfying suitable non-resonance relations. The large-time asymptotics of the…

This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.

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This paper has been withdrawn by the author due to a error in attachment of source file.

This paper has been withdrawn by the author due to the unsure solution to the Dyson-Schwinger equation.

In this paper, we consider blowup of solutions to the Cauchy problem for the following biharmonic nonlinear Schr\"odinger equation (NLS), $$ \textnormal{i} \, \partial_t u=\Delta^2 u-\mu \Delta u-|u|^{2 \sigma} u \quad \text{in} \,\, \R…

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This paper has been withdrawn by the author due to a coming paper completely superseding it.

This paper has been withdrawn since the results are not satisfied.

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This paper has been withdrawn: it does not evade the no-go results of Mayers, Lo and Chau, to whom I am most grateful for helpful correspondences.

This paper has been withdrawn by the author, as it is now incorporated in 0901.4506 (v4)

unpublished; this paper has been withdrawn.

We consider the 3d cubic focusing nonlinear Schroedinger equation (NLS) i\partial_t u + \Delta u + |u|^2 u=0, which appears as a model in condensed matter theory and plasma physics. We construct a family of axially symmetric solutions,…

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This paper has been withdrawn by the author due to a crucial error.

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