Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions
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Publication:5117362
DOI10.1137/19M1267556zbMath1445.35237OpenAlexW3051634320MaRDI QIDQ5117362
Marcelo Moreira Cavalcanti, André Vicente, Valéria Neves Domingos Cavalcanti, Cicero Lopes Frota
Publication date: 21 August 2020
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m1267556
Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Second-order semilinear hyperbolic equations (35L71)
Related Items (11)
Nonlinear wave equation with Dirichlet and acoustic boundary conditions: theoretical analysis and numerical simulation ⋮ Stability for the wave equation in an unbounded domain with finite measure and with nonlinearities of arbitrary growth ⋮ Wave equation with viscoelastic acoustic boundary conditions and supercritical source term ⋮ Variable-coefficient viscoelastic wave equation with acoustic boundary conditions: global existence, blowup and energy decay rates ⋮ Energy decay for a wave equation of variable coefficients with logarithmic nonlinearity source term ⋮ Long time behavior of semilinear wave equation with localized interior damping term under acoustic boundary condition ⋮ Well‐posedness and exponential stability for a nonlinear wave equation with acoustic boundary conditions ⋮ Stabilizability for a Quasilinear Klein–Gordon-Wave System with Variable Coefficients ⋮ On a nonlinear problem with Dirichlet and acoustic boundary conditions ⋮ Well-posedness and stability for Kirchhoff equation with non-porous acoustic boundary conditions ⋮ Stability for a nonlinear hyperbolic equation with time-dependent coefficients and boundary damping
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