Decay and blow up at infinite time of solutions for a logarithmic Petrovsky equation

E. Pişkin, Z. Çalişir

In this work, we consider a logarithmic Petrovsky equation with strong damping with initial and boundary conditions in a bounded domain. Under suitable conditions, we prove decay of solutions. Also, we establish the blow up at infinite time of solutions. 

Tbilisi Mathematical Journal, Vol. 13(4) (2020), pp. 113-127