On a final value problem for a class of nonlinear hyperbolic equations with damping term
DOI10.3934/eect.2020053zbMath1480.35404OpenAlexW3027970865MaRDI QIDQ2062158
Nguyen Huu Can, Donal O'Regan, Nguyen Huy Tuan, Vo Van Au
Publication date: 24 December 2021
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/eect.2020053
error estimateregularization methodnonlinear beam equationinverse initial problemnonlinear damped hyperbolic equation
Fixed-point theorems (47H10) Inverse problems for PDEs (35R30) Nonlinear ill-posed problems (47J06) Linear operators and ill-posed problems, regularization (47A52) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Asymptotic behavior of solutions to the damped nonlinear hyperbolic equation
- Continuity of solutions of a class of fractional equations
- Non-existence of weak solutions to nonlinear damped wave equations in exterior domains
- Blow-up of solution of Cauchy problem for three-dimensional damped nonlinear hyperbolic equation
- Global existence and nonexistence of solutions for a system of nonlinear damped wave equations
- Geometric theory of semilinear parabolic equations
- The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom
- Well posedness for damped second order systems with unbounded input operators
- Global solvability for damped abstract nonlinear hyperbolic systems
- \(L^p\)-\(L^q\) estimates of solutions to the damped wave equation in 3-dimensional space and their application
- Blow-up of solution of an initial boundary value problem for a damped nonlinear hyperbolic equation.
- Energy decay for a damped nonlinear hyperbolic equation
- A nonlinear beam equation
- Global existence, asymptotic behavior and blowup of solutions for a class of nonlinear wave equations with dissipative term
- Large time behavior and \(L^{p}\)-\(L^{q}\) estimate of solutions of 2-dimensional nonlinear damped wave equations
- \(L^p\)-\(L^q\) estimates for damped wave equations and their applications to semi-linear problem
- On decay and blow-up of solutions for a nonlinear beam equation with double damping terms
- Existence and nonexistence of global solutions to the Cauchy problem of the nonlinear hyperbolic equation with damping term
- The initial-boundary value problems for a class of nonlinear wave equations with damping term
- A blow-up result for a nonlinear wave equation with damping: The critical case
- Existence and general decay for nondissipative hyperbolic differential inclusions with acoustic/memory boundary conditions
- Existence and nonexistence of global solutions to the Cauchy problem for a nonlinear beam equation
- Numerical Analysis of Nonlinear Subdiffusion Equations
- A note on the derivation of filter regularization operators for nonlinear evolution equations
- 500 Examples and Problems of Applied Differential Equations
This page was built for publication: On a final value problem for a class of nonlinear hyperbolic equations with damping term