Upper bound of higher-order Sobolev norms for Zkaharov system in one space dimension
arXiv:2403.17380
Abstract
We study the Cauchy problem for the Zakharov system in one space dimension with the Diriclet boundary conditions. We establish the global well-posedness and the growth of higher-order Sobolev norms of solutions to the Zakharov system by using the modified energy method.
arXiv comment16 pages