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- W1969858809 abstract "where p > 1, (N - 2) p < N + 2 and either u(0) ⩾ 0 or (3N - 4) p < 3N + 8. We assume that u1 and u2 blow-up at the same time T, at the same unique point a ∊ N and that they have the same (generic) profile. We then obtain a sharp estimate on | u1 - u2 | for all (x, t) ∊ N × [0, T ). In particular, we show that, up to a scaling, this difference is uniformly bounded and goes to zero as (x, t) → (a,T ), provided that N = 1 and p ⩾ 3. As an application of our result, we show the stability of the considered profile in N dimensions." @default.
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- W1969858809 date "2000-05-15" @default.
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- W1969858809 title "Boundedness up to blow-up of the difference between two solutions to a semilinear heat equation" @default.
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- W1969858809 doi "https://doi.org/10.1088/0951-7715/13/4/311" @default.
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