Related papers: The L^p-continuity of the wave operators for the t…

This article has been withdrawn due to an error in a proof of the main result.

This paper establishes the $L^p$ boundedness of wave operators for linear Schr\"odinger equations in $\mathbb{R}^3$ with time-dependent potentials. The approach to the proof is based on new cancellation lemmas. As a typical application…

This paper has been withdrawn by the author due to a serious gap in the proof of the main theorem.

The paper has been permanently removed due to copyright issues.

This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.

This paper is being withdrawn because an error was discovered in lemma 4.3. Although the rest of the paper appears to be correct, this error invalidates the proof of theorem 3.1 and theorem 3.3.

This paper has been withdrawn by the author due to an error.

We consider the higher order Schr\"odinger operator $H=(-\Delta)^m+V(x)$ in $n$ dimensions with real-valued potential $V$ when $n>2m$, $m\in \mathbb N$, $m>1$. When $n$ is odd, we prove that the wave operators extend to bounded operators on…

We consider the higher order Schr\"odinger operator $H=(-\Delta)^m+V(x)$ in $n$ dimensions with real-valued potential $V$ when $n>2m$, $m\in \mathbb N$. We adapt our recent results for $m>1$ to show that the wave operators are bounded on…

The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.

This paper has been withdrawn by the author due to a crucial errors.

Due to a computational mistake this paper has been withdrawn.

This paper has been withdrawn by the authors due to a mistake in the proof of the chief result. In particular Theorem 1.3 is correct, while Theorem 1.1 and Theorem 1.2 hold with \mu>0 and a suitable restriction on the exponent p. The proof…

This paper has been withdrawn by the author, due to an error in Proposition 2.2.

This paper has been withdrawn by the author because Lemma 3 is incorrect. This mistake is crucial in this paper.

This paper has been withdrawn by the author due to an error in section 7. There is a new version: arXiv:1011.3352.

This paper has been withdrawn by the authors, due a crucial error in Sec. 3.

This paper has been withdrawn by the author due to serious error found in main argument.

This paper has been withdrawn by the author(s), due to a crucial error in eq. 6.

This paper has been withdrawn by the authors due to some errors.