Decay of solutions to damped Korteweg-de Vries type equation
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Publication:434369
DOI10.1007/s00245-011-9156-7zbMath1252.35242OpenAlexW2007587858MaRDI QIDQ434369
Valéria Neves Domingos Cavalcanti, Fábio M. Amorin Natali, Marcelo Moreira Cavalcanti, Andrei V. Faminskii
Publication date: 10 July 2012
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-011-9156-7
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)
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Cites Work
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- Control and stabilization of the Korteweg-de Vries equation: recent progresses
- Uniform stabilization in weighted Sobolev spaces for the KdV equation posed on the half-line
- Exponential stability for the \(2\)-D defocusing Schrödinger equation with locally distributed damping.
- Qualitative aspects for the cubic nonlinear Schrödinger equations with localized damping: exponential and polynomial stabilization
- Asymptotic behavior of the Korteweg-de Vries equation posed in a quarter plane
- Exact boundary controllability of the nonlinear Schrödinger equation
- Unique continuation for some evolution equations
- Exponential decay for the semilinear wave equation with localized damping in unbounded domains
- Korteweg--de Vries and Kuramoto--Sivashinsky equations in bounded domains
- On the dual Petrov-Galerkin formulation of the KdV equation on a finite interval
- On the boundary‐value problem for the Korteweg–de Vries equation
- CONTROL AND STABILIZATION OF THE NONLINEAR SCHRÖDINGER EQUATION ON RECTANGLES
- Odd-order quasilinear evolution equations posed on a bounded interval
- On the stabilization of the Korteweg–de Vries equation
- Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
- Unique continuation and decay for the Korteweg-de Vries equation with localized damping
- On the exponential decay of the critical generalized Korteweg-de Vries equation with localized damping
- Global Stabilization of the Generalized Korteweg--de Vries Equation Posed on a Finite Domain
- Local Exact Controllability and Stabilizability of the Nonlinear Schrödinger Equation on a Bounded Interval
- Control and Stabilization of the Korteweg-de Vries Equation on a Periodic Domain
- Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
- Unique Continuation for the Korteweg–de Vries Equation
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Stabilization of the Korteweg-de Vries equation with localized damping
- Forced Oscillations of a Damped Korteweg-de Vries Equation in a Quarter Plane
- An Initial Boundary-Value Problem in a Half-Strip for the Korteweg–De Vries Equation in Fractional-Order Sobolev Spaces
- Exact controllability and stabilizability of the Korteweg-de Vries equation
- THE GENERALIZED KORTEWEG–DE VRIES EQUATION ON THE HALF LINE
- Modified KdV equation with a source term in a bounded domain
- Partial quasianalyticity of distribution solutions of weakly nonlinear differential equations with weights assigned to derivatives
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