Related papers: Particle in Cell (PIC): Error Estimates for Adapti…

This paper has been withdrawn by the author(s), due to a crucial error in eq. 6.

This paper has been withdrawn by the author due to a crucial error in several equations.

This paper was withdrawn by the author due to a fatal error.

This paper has been withdrawn by the author due to text overlap with arXiv:1102.5004, as well as omission of proper citations to arXiv:1110.4655 and arXiv:1111.0313

This paper has been withdrawn by the author due to unspecified problems.

This paper has been withdrawn by the author due to a crucial error in the Proof of Theorem 0.3

The paper has been withdrawn due to a crucial error in section 3.

This article has been withdrawn due to an error in a proof of the main result.

This paper has been withdrawn by the author(s), due a mistake of factor 1/2.

The paper is withdrawn by the author due to an oversimplified and misleading approach which was taken initially as a starting point.

This paper has been withdrawn by the authors

This paper has been withdrawn by the author, due to possible counter-examples.

This paper has been withdrawn by the author due to a crucial error in the definition of homomorphism.

This paper has been withdrawn by the author due to a crucial error in Lemma 3.5.

This paper has been withdrawn by the authors due to an incorrect analysis.

This paper has been withdraw by the author due to adding more modeling results.

This paper has been withdrawn by the author: it was a too preliminary version

This paper has been withdrawn by the authors due to an error.

This paper has been withdrawn by the author due to a crucial definition error of Triebel space.

This paper has been withdrawn by the author due to incomplete interpretation for the results.