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• W2117492764 abstract "We consider the blowup problem for ut— Apu+u p~2u (x^ O , t> 0) under the Dirichlet boundary condition and p> 2. We derive sufficient conditions on blowing up of solutions. In particular, it is shown that every non-negative and non-zero solution blows up in a finite time if the domain O is large enough. Moreover, we show that every blowup solution behaves asymptotically like a self-similar solution near the blowup time. The Rayleigh type quotient introduced in Lemma A plays an important role throughout this paper." @default.
• W2117492764 created "2016-06-24" @default.
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• W2117492764 date "1996-01-01" @default.
• W2117492764 modified "2023-10-01" @default.
• W2117492764 title "Asymptotic behavior of blowup solutions of a parabolic equation with the {$p$}-Laplacian" @default.
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• W2117492764 doi "https://doi.org/10.2977/prims/1195162854" @default.
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