Biorthogonal functions for complex exponentials and an application to the controllability of the Kawahara equation via a moment approach
From MaRDI portal
Publication:6133673
DOI10.1007/s00245-023-10032-2zbMath1522.35446arXiv2212.00158MaRDI QIDQ6133673
Miguel D. Soto Vieira, Ademir Fernando Pazoto
Publication date: 21 August 2023
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.00158
Controllability (93B05) KdV equations (Korteweg-de Vries equations) (35Q53) Moment problems and interpolation problems in the complex plane (30E05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Control and stabilization of the Kawahara equation on a periodic domain
- Control and stabilization of the Korteweg-de Vries equation: recent progresses
- Null-controllability of a hyperbolic equation as singular limit of parabolic ones
- The Cauchy problem for the modified Kawahara equation in Sobolev spaces with low regularity
- Global controllability and stabilizability of Kawahara equation on a periodic domain
- A complex-analytic approach to the problem of uniform controllability of a transport equation in the vanishing viscosity limit
- Unique continuation property and control for the Benjamin-Bona-Mahony equation on a periodic domain
- Local well-posedness for the periodic higher order KdV type equations
- Well-posedness and controllability of Kawahara equation in weighted Sobolev spaces
- Two stability results for the Kawahara equation with a time-delayed boundary control
- Internal controllability of the Kawahara equation on a bounded domain
- Control of a Korteweg-de Vries equation: a tutorial
- Exact controllability theorems for linear parabolic equations in one space dimension
- Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
- A spectral study of the boundary controllability of the linear 2-D wave equation in a rectangle
- Control and Stabilization of the Korteweg-de Vries Equation on a Periodic Domain
- Fourier Series in Control Theory
- Controllability and Stabilizability of the Third-Order Linear Dispersion Equation on a Periodic Domain
- Uniform bounds on biorthogonal functions for real exponentials with an application to the control theory of parabolic equations
- Control and stabilization of the periodic fifth order Korteweg-de Vries equation
- A singular controllability problem with vanishing viscosity
- Mathematical control theory: an introduction
This page was built for publication: Biorthogonal functions for complex exponentials and an application to the controllability of the Kawahara equation via a moment approach