Strong stabilization of damped nonlinear Schrödinger equation with saturation on unbounded domains
DOI10.1016/J.JMAA.2024.128329zbMATH Open1541.35448MaRDI QIDQ6539280
Publication date: 14 May 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
maximal monotone operatorsstabilizationfinite time extinctiondamped Schrödinger equationexistence and regularity of weak solutionssaturated section
Stabilization of systems by feedback (93D15) Smoothness and regularity of solutions to PDEs (35B65) Monotone operators and generalizations (47H05) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)
Cites Work
- Title not available (Why is that?)
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- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
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- Title not available (Why is that?)
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- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Gel'fand integrals and generalized derivatives of vector measures
- On the sequential approximation of scalarly measurable functions by simple functions
- Functional analysis, Sobolev spaces and partial differential equations
- Compact sets in the space \(L^ p(0,T;B)\)
- The Radon-Nikodym theorem for Banach space valued measures
- A note on the nonlinear Schrödinger equation in a general domain
- Finite time extinction for a class of damped Schrödinger equations with a singular saturated nonlinearity
- Finite time extinction for a critically damped Schrödinger equation with a sublinear nonlinearity
- Strong stabilization of non-dissipative operators in Hilbert spaces with input saturation
- Finite time extinction for the strongly damped nonlinear Schrödinger equation in bounded domains
- Existence of weak solutions to some stationary Schrödinger equations with singular nonlinearity
- Localizing estimates of the support of solutions of some nonlinear Schrödinger equations -- the stationary case
- Strong stability of elastic control systems with dissipative saturating feedback
- On continuity of functions with values in various Banach spaces
- Linear operations on summable functions.
- Abstrakte Funktionen und lineare Operatoren.
- On integration in vector spaces.
- Finite Time Extinction by Nonlinear Damping for the Schrödinger Equation
- Strong Solutions of Evolution Equations Governed by m-Accretive Operators and the Radon-Nikodym Property
- A Characterization of Banach Spaces Containing l 1
- The Radon-Nikodym Property in Conjugate Banach Spaces
- Vector Valued Functions Equivalent to Measurable Functions
- The weak Radon-Nikodym property in Banach spaces
- Exact Controllability for the Schrödinger Equation
- A Geometrical Characterization of Banach Spaces with the Radon-Nikodym Property
- Stability and Stabilization of Linear Systems with Saturating Actuators
- Finite time extinction for a damped nonlinear Schr{\"o}dinger equation in the whole space
- Finite Time Extinction for Nonlinear Schrödinger Equation in 1D and 2D
- The Radon-Nikodym Theorem for the Bochner Integral
- On Linear Transformations
- Nonlinear Differential Equations of Monotone Types in Banach Spaces
- Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
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