Asymptotic stability and blowup of solutions for a class of viscoelastic inverse problem with boundary feedback

DOI10.1002/mma.3646zbMath1338.35036OpenAlexW1840467114MaRDI QIDQ2814093

Mohammad Shahrouzi

Publication date: 17 June 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3646

zbMATH Keywords

inverse problemasymptotic stabilityblowupboundary feedbackviscoelastic

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Inverse problems for PDEs (35R30) Second-order nonlinear hyperbolic equations (35L70) Blow-up in context of PDEs (35B44)

Related Items (4)

Global nonexistence of solutions for a class of viscoelastic Lamé system ⋮ General decay and blow up of solutions for a class of inverse problem with elasticity term and variable‐exponent nonlinearities ⋮ On behaviour of solutions for a nonlinear viscoelastic equation with variable-exponent nonlinearities ⋮ Blow-up of solutions for a Kirchhoff type equation with variable-exponent nonlinearities

Cites Work

• Unnamed Item
• Unnamed Item
• Elastic membrane equation with memory term and nonlinear boundary damping: global existence, decay and blowup of the solution
• The asymptotic behavior of solutions to an inverse problem for differential operator equations
• Solving the inverse problem of identifying an unknown source term in a parabolic equation
• An inverse problem for a nonlinear Schrödinger equation
• Long-time behaviour of the solutions to inverse problems for parabolic equations
• A global nonexistence theorem for viscoelastic equations with arbitrary positive initial energy
• Global existence and global nonexistence of solutions of the Cauchy problem for a nonlinearly damped wave equation
• Existence of a solution of the wave equation with nonlinear damping and source terms
• Global nonexistence theorems for quasilinear evolution equations with dissipation
• Existence and decay of solutions of a viscoelastic equation with a nonlinear source
• Global nonexistence and stability of solutions of inverse problems for a class of Petrovsky systems
• Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
• Blow up and global existence in a nonlinear viscoelastic wave equation
• Asymptotic stability and blow up of solutions for a Petrovsky inverse source problem with dissipative boundary condition
• Global existence and nonexistence in a system of Petrovsky

This page was built for publication: Asymptotic stability and blowup of solutions for a class of viscoelastic inverse problem with boundary feedback