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

The paper has been withdrawn by the author due an error in the proof of Theorem 3.2.

We study a class of quasi-linear Schr\"odinger equations arising in the theory of superfluid film in plasma physics. First, using gauge transforms and a derivation process we solve, under some regularity assumptions, the Cauchy problem.…

This paper has been withdrawn by the author. The content of the previous versions is now covered by the more recent papers - math.DG/0610252 (concerning the Lie group structuren on the gauge groups) - math.DG/0612522 (concerning the weak…

The paper is withdrawn. The proof has an error and it requires a different approach.

This is partly a survey and partly a research article. Some known results and open problems about Kaehler groups (fundamental groups of compact Kaehler manifolds) are discussed. A new notion of Kaehler homomorphism is introduced. This is a…

We prove the existence of classical solutions to the Dirichlet problem for a class of fully nonlinear elliptic equations of curvature type on Riemannian manifolds. We also derive new second derivative boundary estimates which allows us to…

Paper withdrawn, see math-ph/0505072

This paper is withdrawn by the authors

In this paper, regularity properties of Cauchy problem for linear and nonlinear abstract Schr\"odinger equations in vector-valued function spaces are obtained.

This paper has been withdrawn

This paper has been withdrawn by the author due to some errors.

This paper has been withdrawn by the author(s) in the light of several other works available and due to a misunderstanding in the authorships.

This paper has been withdrawn by the author due to a gap in the proof of the main result.

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This paper has been withdrawn, see the replacement arXiv:1302.6670.

This paper has been withdrawn by the author. The paper has been accepted for publication in Communications on Pure and Applied Mathematics.

This paper has been withdrawn due to that the same conclusion has been proposed before.

In this paper, we consider the Cauchy problem {align*} \{{array}{ll}&i u_t+\Delta u=\lambda_1|u|^{p_1}u+\lambda_2|u|^{p_2}u, \quad t\in\mathbb{R}, \quad x\in\mathbb{R}^N &u(0,x)=\phi(x)\in \Sigma, \quad x\in\mathbb{R}^N, {array}. {align*}…

This paper has been withdrawn by the authors due to some fatal errors in the analysis.

This paper has been withdrawn by the authors; it will be incorporated into part I of the series (in preparation).