Existence and general decay for a viscoelastic equation with logarithmic nonlinearity
J. Korean Math. Soc. Published online August 2, 2021
Tae Gab Ha and Sun Hye Park
Jeonbuk National University; Pusan National University
Abstract : In the present work, we investigate a viscoelastic equation involving a logarithmic nonlinear source term.
After constructing the existence of solutions,
we build a new general decay estimate of the solution using energy estimates and theory of convex functions.
This result generalizes and extends some previous results.
Keywords : general decay, logarithmic source, viscoelastic equation, convex function