On a Viscoelastic Plate Equation with Logarithmic Nonlinearity and Variable-Exponents: Global Existence, General Decay and Blow-Up of Solutions
摘要
A nonlinear viscoelastic plate equation with logarithmic nonlinearity and variable-exponents is studied. Firstly, the global existence is showed. Next, by using an integral inequality due to Komornik the general decay result is obtained. Finally, the blow-up of solutions is proved with negative initial energy.