Identification of an unknown coefficient in KdV equation from final time measurement

DOI10.1515/jiip-2016-0011zbMath1352.35122OpenAlexW2395187256MaRDI QIDQ318187

Kumarasamy Sakthivel, Raju K. George, Alemdar Hasanov, Soundararajan Gnanavel

Publication date: 4 October 2016

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2016-0011

zbMATH Keywords

inverse problemKorteweg-de Vries equationdispersive equationwave speed estimation

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) PDEs in connection with fluid mechanics (35Q35) Inverse problems for PDEs (35R30) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

Reconstruction of a space-dependent coefficient in a linear Benjamin-Bona-Mahony type equation ⋮ An inverse problem for the KdV equation with Neumann boundary measured data ⋮ Identification of the anti-diffusion coefficient for the linear Kuramoto-Sivashinsky equation ⋮ Inverse source problems for the Korteweg-de Vries-Burgers equation with mixed boundary conditions ⋮ Inverse problem for a Cahn–Hilliard type system modeling tumor growth ⋮ Inverse source problem for a generalized Korteweg-de Vries equation ⋮ Determination of a spatial load in a damped Kirchhoff–Love plate equation from final time measured data

Cites Work

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• On the determination of the principal coefficient from boundary measurements in a KdV equation
• Inverse problem for the reaction diffusion system by optimization method
• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• Simultaneous determination of source terms in a linear parabolic problem from the final overdetermination: weak solution approach
• Semigroups of linear operators and applications to partial differential equations
• Carleman estimates for coefficient inverse problems and numerical applications.
• Identification of the unknown diffusion coefficient in a linear parabolic equation by the semigroup approach
• A reduced model of pulsatile flow in an arterial compartment
• Identifying the coefficient of first-order in parabolic equation from final measurement data
• Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
• A gradient descent method for solving an inverse coefficient heat conduction problem
• Variable depth KdV equations and generalizations to more nonlinear regimes
• Identification of an unknown source term in a vibrating cantilevered beam from final overdetermination
• Carleman estimates for parabolic equations and applications
• Identification of Parameters in Distributed Parameter Systems by Regularization
• The Korteweg-de Vries equation: a historical essay
• Evolution Equations for Long, Nonlinear Internal Waves in Stratified Shear Flows
• Parameter identification in reaction-diffusion models
• Numerical identifications of parameters in parabolic systems
• A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
• Generic well-posedness of an inverse parabolic problem - the Hölder-space approach
• On an asymptotic solution of the Korteweg–de Vries equation with slowly varying coefficients
• Solitary waves propagating over variable topography
• Inverse problems for partial differential equations

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