The asymptotic behavior of solutions to an inverse problem for differential operator equations

DOI10.1016/S0895-7177(03)00106-7zbMath1073.35208MaRDI QIDQ597542

Ayşe Feza Güvenilir, Varga K. Kalantarov

Publication date: 6 August 2004

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

heat equationdamped wave equationssource reconstructionfirst-order and second-order linear operator differential equations in a Hilbert space

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Inverse problems for PDEs (35R30) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (9)

On behavior of solutions to a class of nonlinear hyperbolic inverse source problem ⋮ 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 ⋮ Long-time behaviour of the solutions to inverse problems for parabolic equations ⋮ 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 ⋮ On global behavior of solutions to an inverse problem for nonlinear parabolic equations ⋮ Asymptotic stability and blowup of solutions for a class of viscoelastic inverse problem with boundary feedback

Cites Work

• Determining finite volume elements for the 2D Navier-Stokes equations
• An inverse problem for an unknown source in a heat equation
• The problem of determining the source function for a system of composite type
• 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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