THE NON-HOMOGENEOUS OF SEMI-LINEAR PARABOLIC EQUATION WITH INTEGRAL CONDITIONS

THE NON-HOMOGENEOUS OF SEMI-LINEAR PARABOLIC EQUATION WITH INTEGRAL CONDITIONS

B. Tareq

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Abstract

In this paper we introduce another method to establish nite time blow-up. This method, introduce by Levine{Payne in the papers [3], [4] and is due to Levine (1973), uses the concavity of an auxiliary function I(t).

Keywords

Integral Condition, blow-up, Semi-linear parabolic equations, concavity method.