General Decay and Blow Up of Solution for an Kirchhoff Parabolic Equation with a Memory Term and a Generalized Lewis Function
In this paper,we consider the decay and blow up properties of a semi-linear para-bolic equation with a mixed boundary condition and a generalized Lewis functions.Under suitable conditions,we firstly establish a general decay result,from which the usual expo-nential and polynomial decay results are only special cases.Then we prove the solution blows up in finite time if the initial datum possesses suitable negative energy by the modifi-fied concavity method.Moreover,we have a precise estimate for the lifespan of the solution in this case.
memory termgeneralized Lewis functionmixed boundary value problemsgnearal decayblow up
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