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math.AP2015★ 13 cited
Attractors for Strongly Damped Wave Equations with Nonlinear Hyperbolic Dynamic Boundary Conditions
P. Jameson Graber, Joseph L. Shomberg
We establish the well-posedness of a strongly damped semilinear wave equation equipped with nonlinear hyperbolic dynamic boundary conditions. Results are carried out with the prese…
math.DS2015
Attractors for Damped Semilinear Wave Equations with a Robin--Acoustic Boundary Perturbation
Joseph L. Shomberg
Under consideration is the damped semilinear wave equation \[ u_{tt}+u_t-Δu + u + f(u)=0 \] on a bounded domain in with a perturbation parameter …