Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term

• Published in: Advances in nonlinear analysis Vol. 9; no. 1; pp. 613 - 632
• Main Authors: Lian, Wei, Xu, Runzhang
• Format: Journal Article
• Language: English
• Published: De Gruyter 01.01.2020
• Subjects: energy decay; global solution; infinite time blow up; logarithmic nonlinearity; Wave equation; weak and strong damping terms

The main goal of this work is to investigate the initial boundary value problem of nonlinear wave equation with weak and strong damping terms and logarithmic term at three different initial energy levels, i.e., subcritical energy (0) < , critical initial energy (0) = and the arbitrary high initia...