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math.AP2017
On the Cauchy problem for the periodic fifth-order KP-I equation
Tristan Robert
The aim of this paper is to investigate the Cauchy problem for the periodic fifth order KP-I equation \[\partial_t u - \partial_x^5 u -\partial_x^{-1}\partial_y^2u + u\partial_x u…
math.AP2017
Global well-posedness of partially periodic KP-I equation in the energy space and application
Tristan Robert
In this article, we address the Cauchy problem for the KP-I equation \[\partial_t u + \partial_x^3 u -\partial_x^{-1}\partial_y^2u + u\partial_x u = 0\] for functions periodic in $…