Yazarlar

  • MakaleYalnız künye2022Scopus SJRQ2
    Lower bounds for blow-up time in a nonlinear parabolic problem with a gradient nonlinearity

    Ayazoglu Mashiyev, Rabil; Ekincioglu, Ismail

    In this article, we study the blow-up properties of solutions to a parabolic problem with a gradient nonlinearity under homogeneous Dirichlet boundary conditions. By constructing an auxiliary function and by modifying the first order differential inequality, we obtain lower bounds for the blow-up time of solutions in Lk(Ω ) (k> 1 ) norm and conditions which ensure that blow-up cannot occur.