In this paper, we consider non-negative solutions of
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We prove that if pq ≤ 1, every solution is global while if pq > 1, all solutions blow up in finite time. We also show that if p, q ≥ 1, then blow-up can occur only on the boundary.
Abstract. A semilinear heat equation u, q > 0 is studied. The set of stationary states is characterized, their instability is analyzed, and the large time behavior of positive solutions is discussed.
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