Nonlinear Schrödinger equations on a finite interval with point dissipation
DOI10.3934/mcrf.2019017zbMath1428.35499OpenAlexW2908105800MaRDI QIDQ2329691
Publication date: 18 October 2019
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mcrf.2019017
Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with control and optimization (35Q93)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Continuous dependence for NLS in fractional order spaces
- Dissipative operators in a Banach space
- The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line.
- Semigroups of linear operators and applications to partial differential equations
- On the complete integrability of a nonlinear Schrödinger equation
- On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
- On a class of nonlinear Schrödinger equations. II. Scattering theory, general case
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations
- Simultaneous extensions of Selberg inequality and Heinz-Kato-Furuta inequality
- Smoothing and decay properties of solutions of the Korteweg-de Vries equation on a periodic domain with point dissipation
- On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness
- Water waves, nonlinear Schrödinger equations and their solutions
- Limitations on the control of Schrödinger equations
- Nonlinear Schrödinger Equation with Inhomogeneous Dirichlet Boundary Data
- The cauchy problem for the critical nonlinear Schrödinger equation in Hs
- Local Exact Controllability and Stabilizability of the Nonlinear Schrödinger Equation on a Bounded Interval
- Controllability of the nonlinear Schrödinger equation in the vicinity of the ground state
- Admissible Input Elements for Systems in Hilbert Space and a Carleson Measure Criterion
- Nonlinear Schrödinger evolution equations
- Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
- Controllability and Stabilizability of the Third-Order Linear Dispersion Equation on a Periodic Domain
- Semiclassical nonlinear Schrödinger on the half line
- An initial-boundary value problem of the nonlinear schrödinger equation
- The Korteweg–de Vries Equation on a Periodic Domain with Singular-Point Dissipation
- An inhomogeneous boundary value problem for nonlinear Schrödinger equations
- A Korteweg-de Vries type of fifth-order equations on a finite domain with point dissipation
This page was built for publication: Nonlinear Schrödinger equations on a finite interval with point dissipation
