相关论文: 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This paper has been withdrawn by the authors.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.

This paper is withdrawn.

This paper has been withdrawn by the author due to a error in attachment of source file.

This paper has been withdrawn by the author due to the unsure solution to the Dyson-Schwinger equation.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

This paper is withdrawn by the authors.

This paper has been withdrawn by the author.

This paper has been withdrawn by the authors

This paper has been withdrawn by the author due to a coming paper completely superseding it.

This paper has been withdrawn since the results are not satisfied.

This paper has been withdrawn by the author.

This paper has been withdrawn.

This paper has been withdrawn: it does not evade the no-go results of Mayers, Lo and Chau, to whom I am most grateful for helpful correspondences.

This paper has been withdrawn by the author, as it is now incorporated in 0901.4506 (v4)

unpublished; this paper has been withdrawn.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,…

This paper has been withdrawn by the authors due to substantial changes.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn