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Very slow grow-up of solutions of a semi-linear parabolic equation
Published online by Cambridge University Press: 30 March 2011
Abstract
We consider large-time behaviour of global solutions of the Cauchy problem for a parabolic equation with a supercritical nonlinearity. It is known that the solution is global and unbounded if the initial value is bounded by a singular steady state and decays slowly. In this paper we show that the grow-up of solutions can be arbitrarily slow if the initial value is chosen appropriately.
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- Copyright © Edinburgh Mathematical Society 2011
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