Bounds in time for the Klein-Gordon-Schroedinger and the Zakharov system
Analysis of PDEs
2007-05-23 v3
Abstract
It is shown that the spatial Sobolev norms of regular global solutions of the (2+1),(3+1) and (4+1)-dimensional Klein-Gordon-Schroedinger system and the (2+1) and (3+1)-dimensional Zakharov system grow at most polynomially with the bound depending on the regularity class of the data. The proof uses the Fourier restriction norm method.
Keywords
Cite
@article{arxiv.math/0401352,
title = {Bounds in time for the Klein-Gordon-Schroedinger and the Zakharov system},
author = {Axel Gruenrock and Hartmut Pecher},
journal= {arXiv preprint arXiv:math/0401352},
year = {2007}
}