Long-time behaviour of the solutions to inverse problems for parabolic equations

DOI10.1016/J.AMC.2006.06.066zbMath1115.35148OpenAlexW1966052483MaRDI QIDQ879532

Ömer Faruk Gözükızıl, Metin Yaman

Publication date: 14 May 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.06.066

zbMATH Keywords

stabilityinverse source problemintegral overdetermination

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Inverse problems for PDEs (35R30) Initial value problems for second-order parabolic equations (35K15)

Related Items (6)

Asymptotic behavior of solutions of inverse problems for degenerate parabolic equations ⋮ On the stabilization to zero of the solutions of the inverse problem for a degenerate parabolic equation with two independent variables ⋮ Blow-up analysis for a class of higher-order viscoelastic inverse problem with positive initial energy and boundary feedback ⋮ Blow up of solutions to a class of damped viscoelastic inverse source problem ⋮ Asymptotic stability and blow up of solutions for a Petrovsky inverse source problem with dissipative boundary condition ⋮ Asymptotic stability and blowup of solutions for a class of viscoelastic inverse problem with boundary feedback

Cites Work

• Unnamed Item
• The asymptotic behavior of solutions to an inverse problem for differential operator equations
• Determining finite volume elements for the 2D Navier-Stokes equations
• An inverse problem for an unknown source in a heat equation
• Solution of an Inverse Problem for the Nonlinear Heat Equation
• Asymptotic behaviour of the solutions of inverse problems for parabolic equations with irregular coefficients

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