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Resumen:
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The authors consider blow-up for the equation (1) ut=?u+up (x?RN, t>0), where p>1 and N>1. For N>11and (2) p>(N?2(N?1)1/2)/(N?4?2(N?1)1/2)=p1(N) there exist some radial positive solutions that blow up at x=0, t=T. Moreover, (3) limsup(T?t)1/(p?1)u(0,t)=? (t?T). Similar problems were investigated in detail in the book by A. A. Samarski? et al. [Peaking modes in problems for quasilinear parabolic equations (Russian), "Nauka'', Moscow, 1987] and in other works where blow-up was established under conditions of the type 1
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