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This paper deals with the blow-up phenomena of the solution u of a nonlinear\udparabolic problem with a gradient nonlinearity and time dependent\udcoefficients. By using techniques based on Sobolev type and differential inequalities,\udwe derive explicit lower bounds for the blow-up time, if blow-up\udoccurs, when different boundary conditions are taken into account

Lower bounds for blow-up time in a parabolic problem with a gradient term under various boundary conditions