相关论文: Cubic Derivative Nonlinear Schrodinger has Blowup …

This paper has been withdrawn, because of an error in the proof of the main Theorem

This paper has been withdrawn by the author.

This paper has been withdrawn by the authors due to a gap in the proof of the main result (in 5.3).

This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.

This paper has been withdrawn

This paper has been withdrawn by the authors due to some fatal errors in the analysis.

In a previous article we have proved non-existence of certain "solutions" of the cubically nonlinear Schr\"odinger equation in the general case, and presented solutions in the non-generic case. -- In the present article we describe a…

This paper has been withdrawn by the author due to a crucial errors.

The paper has been withdrawn.

Paper withdrawn by authors. See new version in this same listing.

We prove there exist solutions to the focusing cubic nonlinear Schr\"odinger equation in three dimensions that blowup on a circle, in the sense of L^2 concentration on a ring, bounded H^1 norm outside any surrounding toroid, and growth of…

This paper has been withdrawn by the authors, due a crucial error.

In this paper, we consider the mass-critical nonlinear Schr\"odinger equation in one dimension. Ogawa--Tsutsumi [19] proved a blow-up result for negative energy solution by using a scaling argument for initial data. By the reason, the…

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This paper has been withdrawn

This paper has been withdrawn by the author. Much simpler proof of the main result was obtained which led to major changes in the presentation.

This paper has been withdrawn by the authors

This paper has been withdrawn by the author.

The paper was withdrawn by the authors