Abstract   This paper considers the blow-up of solutions for equations      u    t    −  ν  △    u    t    =  div   (  ρ   (  ∣  ∇  u    ∣    2    )   ∇  u  )   +  f   (  u  )     by means of a differential inequality technique. A lower bound for blow-up time is determined if blow-up does occur. Also, we establish a blow-up criterion and an upper bound for blow-up under some conditions. Moreover, conditions which ensure that blow-up cannot occur are presented. This result extends the results obtained by R. Xu (2007) and P. Luo (2015).
['Xiaoming Peng', 'Yadong Shang', 'Xiaoxiao Zheng']
Blow-up phenomena for some nonlinear pseudo-parabolic equations