Identification of the time-dependent source term in a Kuramoto-Sivashinsky equation

Inverse problems for PDEs (35R30) Initial value problems for second-order parabolic equations (35K15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Cites Work

Determination of a term in the right-hand side of parabolic equations
Identification of an unknown time-dependent heat source term from overspecified Dirichlet boundary data by conjugate gradient method
Local exact controllability to the trajectories of the 1-D Kuramoto-Sivashinsky equation
Finite difference discretization of the Kuramoto-Sivashinsky equation
Identification of the anti-diffusion coefficient for the linear Kuramoto-Sivashinsky equation
A new global Carleman estimate for the one-dimensional Kuramoto-Sivashinsky equation and applications to exact controllability to the trajectories and an inverse problem
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A nonlinear loaded parabolic equation and a related inverse problem
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Lipschitz stability in an inverse problem for the Kuramoto–Sivashinsky equation
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Structural identification of an unknown source term in a heat equation
A numerical differentiation method and its application to reconstruction of discontinuity
An Introduction to Partial Differential Equations
Convergence rate analysis of the coefficient identification problems in a Kuramoto–Sivashinsky equation
Inverse Problems of Determination of the Right-Hand Side Term in the Degenerate Higher-Order Parabolic Equation on a Plane
Stability enhancement by boundary control in the Kuramoto-Sivashinsky equation

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