On finite time blow-up for a 3D Davey-Stewartson system
arXiv:2203.13910 · doi:10.1090/proc/16058
Abstract
We consider the elliptic-elliptic Davey-Stewartson system in the three-dimensional Euclidean space, and we give sufficient conditions for the existence of finite time blow-up solutions in non-isotropic spaces. The proof is based on some general results on distributions defined via homogeneous symbols, in conjunction with a convexity argument.
Proceedings of the American Mathematical Society, to appear