Internal controllability of non-localized solution for the Kodomtsev-Petviashvili II equation

Abstract

The internal control problem for the Kadomstev-Petviashvili II equation, known as KP-II, is the object of study in this paper. The controllability in $L^2(T)$ from vertical strip is proved using the Hilbert Unique Method through the techniques of semiclassical and microlocal analysis. Additionally, a negative result for the controllability in $L^2(T)$ from horizontal strip is also showed.

References in corpus (2)

• Well-posedness and scattering for the KP-II equation in a critical space
• Global well-posedness for the KP-I equation on the background of a non localized solution

Cited by in corpus (2)

• Time optimal observability for Grushin Schrödinger equation
• Exact Controllability of linear KP-I equation