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

Forcella, Luigi

doi:10.1090/proc/16058

On finite time blow-up for a 3D Davey-Stewartson system
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Proc. Amer. Math. Soc. 150 (2022), 5421-5432 Request permission

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.

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