Global solution of the initial value problem for the focusing Davey-Stewartson II system

We consider the two dimensional focusing Davey-Stewartson II system and construct the global solution of the Cauchy problem for a dense in L 2 (C) set of initial data. We do not assume that the initial data is small. So, the solutions may have singularities. We show that the blow-up may occur only o...

Full description

Bibliographic Details
Main Author: Lakshtanov, Evgeny (author)
Other Authors: Vainberg, Boris (author)
Format: article
Language:eng
Published: 2020
Subjects:
Davey-Stewartson
∂-method
Dirac equation
Exceptional point
Inverse problem
Online Access:http://hdl.handle.net/10773/29515
Country:Portugal
Oai:oai:ria.ua.pt:10773/29515
Description
Summary:We consider the two dimensional focusing Davey-Stewartson II system and construct the global solution of the Cauchy problem for a dense in L 2 (C) set of initial data. We do not assume that the initial data is small. So, the solutions may have singularities. We show that the blow-up may occur only on a real analytic variety and the variety is bounded in each strip t ≤ T.

Similar Items