English

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

Analysis of PDEs 2020-03-03 v2 Optimization and Control

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 L2(T)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 L2(T)L^2(T) from horizontal strip is also showed.

Keywords

Cite

@article{arxiv.1711.09359,
  title  = {Internal controllability of non-localized solution for the Kodomtsev-Petviashvili II equation},
  author = {Chenmin Sun and Ivonne Rivas},
  journal= {arXiv preprint arXiv:1711.09359},
  year   = {2020}
}