General stability and exponential growth for a class of semi-linear wave equations with logarithmic source and memory terms

DOI10.1007/S00245-018-9508-7zbMath1441.35041OpenAlexW2848559901WikidataQ115608618 ScholiaQ115608618MaRDI QIDQ1987334

Amir Peyravi

Publication date: 14 April 2020

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-018-9508-7

zbMATH Keywords

general decaymemory dampinglogarithmic wave equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Asymptotic stability in control theory (93D20) Nonlinear constitutive equations for materials with memory (74D10) Second-order semilinear hyperbolic equations (35L71)

Related Items (9)

Stability result of a viscoelastic plate equation with past history and a logarithmic nonlinearity ⋮ Existence and general decay of Balakrishnan-Taylor viscoelastic equation with nonlinear frictional damping and logarithmic source term ⋮ Global existence and decay of solutions for a higher-order Kirchhoff-type systems with logarithmic nonlinearities ⋮ Existence and decay of solutions for a higher-order viscoelastic wave equation with logarithmic nonlinearity ⋮ Global existence and decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearity ⋮ Blow up results for a viscoelastic Kirchhoff-type equation with logarithmic nonlinearity and strong damping ⋮ General stability and exponential growth of nonlinear variable coefficient wave equation with logarithmic source and memory term ⋮ Mathematical behavior of solutions of the Kirchhoff type equation with logarithmic nonlinearity ⋮ General decay for semi-linear wave equations with memory term and logarithmic source

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