Blow-up analysis for a class of higher-order viscoelastic inverse problem with positive initial energy and boundary feedback
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Publication:2409382
DOI10.1007/s10231-017-0644-5OpenAlexW2594798792MaRDI QIDQ2409382
Publication date: 11 October 2017
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-017-0644-5
Nonlinear constitutive equations for materials with memory (74D10) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Blow-up in context of PDEs (35B44) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)
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Cites Work
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- Existence and blow up of solutions to a Petrovsky equation with memory and nonlinear source term
- Global existence and blow-up of solutions for higher-order viscoelastic wave equation with a nonlinear source term
- The asymptotic behavior of solutions to an inverse problem for differential operator equations
- An inverse problem for a nonlinear Schrödinger equation
- On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms
- Long-time behaviour of the solutions to inverse problems for parabolic equations
- Existence and asymptotic behavior of global solutions for a class of nonlinear higher-order wave equation
- Analytical and numerical solutions to an electrohydrodynamic stability problem
- Global classical solutions of nonlinear wave equations
- Global existence and asymptotic stability for viscoelastic problems
- Existence and non-existence of global solutions of the Cauchy problem for higher order semilinear pseudo-hyperbolic equations
- Bloch theorem for isogeometric analysis of periodic problems governed by high-order partial differential equations
- Existence and decay of solutions of a viscoelastic equation with a nonlinear source
- Isogeometric analysis of high order partial differential equations on surfaces
- Global nonexistence and stability of solutions of inverse problems for a class of Petrovsky systems
- Solution of the time-harmonic viscoelastic inverse problem with interior data in two dimensions
- Blow-up of Solutions for a Class of Fourth-order Equation Involving Dissipative Boundary Condition and Positive Initial Energy
- The problem of determining the source function for a system of composite type
- Computational Methods for Inverse Problems
- Asymptotic stability and blow up of solutions for a Petrovsky inverse source problem with dissipative boundary condition
- Global existence and uniform decay for a nonlinear viscoelastic equation with damping
