An inverse source problem for singular parabolic equations with interior degeneracy

DOI10.1155/2018/2067304zbMath1470.35424OpenAlexW2903875190WikidataQ128701034 ScholiaQ128701034MaRDI QIDQ1728521

Khalid Atifi, Idriss Boutaayamou, Hamed Ould Sidi, Jawad Salhi

Publication date: 25 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/2067304

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (2)

Null controllability for singular cascade systems of \(n\)-coupled degenerate parabolic equations by one control force ⋮ Convergence analysis for forward and inverse problems in singularly perturbed time-dependent reaction-advection-diffusion equations

Cites Work

• Unnamed Item
• Unnamed Item
• Inverse problems for parabolic equations with interior degeneracy and Neumann boundary conditions
• Carleman estimates for singular parabolic equations with interior degeneracy and non-smooth coefficients
• Determination of source terms in a degenerate parabolic equation from a locally distributed observation
• Representation and control of infinite dimensional systems
• Simultaneous determination of source terms in a linear parabolic problem from the final overdetermination: weak solution approach
• Inverse coefficient problems for nonlinear parabolic differential equations
• Identifying initial condition in degenerate parabolic equation with singular potential
• Carleman estimates for parabolic equations with interior degeneracy and Neumann boundary conditions
• Numerical simulation for an inverse source problem in a degenerate parabolic equation
• Carleman estimates and observability inequalities for parabolic equations with interior degeneracy
• Determination of source terms in a degenerate parabolic equation
• Lipschitz Stability in Inverse Source Problems for Singular Parabolic Equations
• GLOBAL CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC OPERATORS WITH APPLICATIONS
• An inverse problem of identifying the source coefficient in a degenerate heat equation
• Carleman Estimates for a Class of Degenerate Parabolic Operators
• Lipschitz stability in inverse parabolic problems by the Carleman estimate
• Introduction to Inverse Problems for Differential Equations
• Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Non Smooth Parabolic Equations
• An adjoint problem approach and coarse-fine mesh method for identification of the diffusion coefficient in a linear parabolic equation
• On a global estimate in a linear inverse hyperbolic problem

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