相关论文: The Cauchy problem for the semilinear quintic Schr…
This paper has been withdrawn by the authors.
This paper has been withdrawn by the author due to a serious flaw that needs to be fixed. That is in progress by the author.
This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.
This paper has been withdrawn by the author
A semilinear ordinary differential equation is derived from a semilinear Schr\"odinger equation in the homogeneous and isotropic spacetime by the Ehrenfest theorem. The Cauchy problem for the equation is considered. Exact solutions and…
This paper was withdrawn by the authors.
This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.
This paper has been withdrawn by the authors because it has been merged with paper arXiv:0903.3501v1 [math.DG]
We study the Cauchy problem for Schr\"odinger type stochastic partial differential equations with uniformly bounded coefficients on a curved space. We give conditions on the coefficients, on the drift and diffusion terms, on the Cauchy…
This paper has been withdrawn by the author.
This paper has been withdrawn by the author due to the unsure solutions to the Dyson-Schwinger equation.
This paper has been withdrawn by the author due to the unsure solution to the Dyson-Schwinger equation.
This paper has been withdrawn by the author, since the author does not have enough time to answer every questions on this result.
This paper has been withdrawn by the authors. This is due to the fact that it has been substantially revised. As a consequence title and aim of the contents
We consider the defocusing nonlinear Schr{\"o}dinger equation in several space dimensions, in the presence of an external potential depending on only one space vari-able. This potential is bounded from below, and may grow arbitrarily fast…
This paper is painfully withdrawn.
The paper has been withdrawn by the authors. The contents of the paper will be used in a future communication which will contain major addition and shift of focus.
This paper has been withdrawn by the author due to an error estimate in Lemma 3.1.
This paper has been withdrawn by the author due to a coming paper completely superseding it.
This paper has been withdrawn