Well‐posedness and exponential stability for a nonlinear wave equation with acoustic boundary conditions
DOI10.1002/MMA.9703OpenAlexW4387366769MaRDI QIDQ6120429
Juan Limaco, George Bautista, Leyter Potenciano-Machado
Publication date: 25 March 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.9703
stabilityenergy estimatesnonlinear evolution equationmultiplier methodFaedo-Galerkin methodacoustic boundary conditions
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) PDEs of mixed type (35M10) Wave equation (35L05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order hyperbolic equations (35L15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- General decay of solutions for Kirchhoff type containing Balakrishnan-Taylor damping with a delay and acoustic boundary conditions
- On the wave equation with semilinear porous acoustic boundary conditions
- Attractors for semilinear damped wave equations with an acoustic boundary condition
- Wave equation in domains with non locally reacting boundary.
- Null controllability for a parabolic equation with nonlocal nonlinearities
- Existence and general decay for nondissipative distributed systems with boundary frictional and memory dampings and acoustic boundary conditions
- General stability for the Kirchhoff-type equation with memory boundary and acoustic boundary conditions
- Nonlinear wave equation with weak dissipative term in domains with non-locally reacting boundary
- Decay rate estimates for wave equations of memory type with acoustic boundary conditions
- Uniform stabilization of wave equation with localized internal damping and acoustic boundary condition with viscoelastic damping
- On some model diffusion problems with a nonlocal lower order term
- Polynomial decay for the energy with an acoustic boundary condition
- Some nonlinear wave equations with acoustic boundary conditions
- On a system of Klein-Gordon type equations with acoustic boundary conditions
- Existence of global solutions and energy decay for the Carrier equation with dissipative term
- Existence problem for the Kirchhoff type wave equation with a localized weakly nonlinear dissipation in exterior domains
- Uniform energy decay of a variable coefficient wave equation with nonlinear acoustic boundary conditions
- Theoretical analysis and numerical simulation for a hyperbolic equation with Dirichlet and acoustic boundary conditions
- Well-posedness and stability for Kirchhoff equation with non-porous acoustic boundary conditions
- On a nonlinear problem with Dirichlet and acoustic boundary conditions
- Dynamic properties of a nonlinear viscoelastic Kirchhoff-type equation with acoustic control boundary conditions. I
- Arbitrary rate of decay for a viscoelastic equation with acoustic boundary conditions
- General decay of solutions for a weak viscoelastic equation with acoustic boundary conditions
- Uniform stabilization of wave equation with localized damping and acoustic boundary condition
- General decay of solutions of a wave equation with memory term and acoustic boundary condition
- Existence of Solutions for the Kirchhoff-Type Wave Equation with Memory Term and Acoustic Boundary Conditions
- On an evolution equation with acoustic boundary conditions
- Well-posedness and uniform decay rates for the Klein–Gordon equation with damping term and acoustic boundary conditions
- Acoustic boundary conditions
- A New Method to Obtain Uniform Decay Rates for Multidimensional Wave Equations with Nonlinear Acoustic Boundary Conditions
- Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions
- Blow‐up of solution of wave equation with internal and boundary source term and non‐porous viscoelastic acoustic boundary conditions
- General stability of solutions for a viscoelastic wave equations of Kirchhoff type with acoustic boundary conditions
- On the non-linear vibration problem of the elastic string
- Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation
This page was built for publication: Well‐posedness and exponential stability for a nonlinear wave equation with acoustic boundary conditions