Related papers: The Cauchy problem for Schrodinger flows into Kahl…

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The Cauchy problem for the Schr\"odinger equations is studied with time-dependent potentials growing polynomially in the spatial direction. First the existence and the uniqueness of solutions are shown in the weighted Sobolev spaces. In…

The paper has been withdrawn for further elaboration.

In this paper we first obtain the existence of smooth solutions to Orlicz-Aleksandrov problem via a Gauss-like curvature flow.

The paper has been withdrawn

The paper is withdrawn by the authors and replaced be an improved and extended version arxiv: 0812.2968

This paper is withdrawn from submission due to a critical error in the proof of main theorem.

The Cauchy problem is considered for the scalar wave equation in the Schwarzschild geometry. We derive an integral spectral representation for the solution and prove pointwise decay in time.

This paper has been withdrawn by the authors, due to problems with the derivation of the main rate equation.

In this paper, we introduce a new parabolic equation on K\"ahler manifolds. The static point of this flow is related to the existence of a lower bound of the Mabuchi energy. In this paper, we prove the flow always exists for all times for…

In this paper, we introduce a new notion named as Schr\"odinger soliton. So-called Schr\"odinger solitons are defined as a class of special solutions to the Schr\"odinger flow equation from a Riemannian manifold or a Lorentzian manifold $M$…

This paper has been withdrawn by the authors due to a crucial error.

This paper has been withdrawn by the author.

This paper has been withdrawn.

In this short note we present an instability result for transonic flows with respect to perturbations of the Mach number at infinity. More specifically we show that a perturbation of a transonic solution in the context of a Cauchy problem…

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This paper has been withdrawn by the author [arXiv admin].

This paper has been withdrawn by the author(s). Please refer to quant-ph/0311171.

The paper is withdrawn by the author. Parts of the contents are expanded into separate papers; hep-th/0308015 LOCALIZED TACHYON MASS AND A G-THEOREM ANALOGUE, hep-th/0308028 COMMENTS ON THE FATE OF UNSTABLE ORBIFOLDS, hep-th/0308029 CHIRAL…

The authors have withdrawn this paper.