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

2017/11/26 by Chenmin Sun, Sun, Chenmin, Ivonne Rivas +1 · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1711.09359

openalex publication_date 2017/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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) 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) from horizontal strip is also showed.

Citations

• Exact Controllability, Stabilization and Perturbations for Distributed Systems

Cited by

• The periodic KdV with control on space-time measurable sets
• Exact Controllability of linear KP-I equation

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