Asymptotic stability of the viscoelastic equation with variable coefficients and the Balakrishnan-Taylor damping

DOI10.11650/TJM/171203zbMath1415.35041OpenAlexW2779966285MaRDI QIDQ1990416

Tae Gab Ha

Publication date: 25 October 2018

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1513911748

zbMATH Keywords

no growth restrictionnull-trace boundary condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Nonlinear constitutive equations for materials with memory (74D10)

Related Items (6)

Existence and general decay of Balakrishnan-Taylor viscoelastic equation with nonlinear frictional damping and logarithmic source term ⋮ Existence and asymptotic stability of solutions for a hyperbolic equation with logarithmic source ⋮ On the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions ⋮ Global solutions and blow-up for the wave equation with variable coefficients. I: Interior supercritical source ⋮ Energy decay rate for the wave equation with variable coefficients and boundary source term ⋮ Decay rates for a viscoelastic wave equation with Balakrishnan-Taylor and frictional dampings

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