On global existence and bounds for blow-up time in nonlinear parabolic problems with time dependent coefficients
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This paper deals with the blow-up of the solutions
to a class of nonlinear parabolic equations with Dirichlet
boundary condition and time dependent coefficients. Under some
conditions on the data and geometry of the spatial domain, explicit
upper and lower bounds for the blow-up time are derived. Moreover,
the influence of the data on the behaviour of the solution is
investigated to obtain global existence.