English

On finite time blow-up for a 3D Davey-Stewartson system

Analysis of PDEs 2022-03-29 v1

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.

Keywords

Cite

@article{arxiv.2203.13910,
  title  = {On finite time blow-up for a 3D Davey-Stewartson system},
  author = {Luigi Forcella},
  journal= {arXiv preprint arXiv:2203.13910},
  year   = {2022}
}

Comments

Proceedings of the American Mathematical Society, to appear