Acta mathematica scientia,Series B
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Wang Yang
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This article consider, for the following heat equation {ut|x|s−Δpu=uq, (x,t)∈Ω×(0,T),u(x,t)=0,(x,t)∈∂Ω×(0,T),u(x,0)=u0(x),u0(x)≥0,u0(x)≢0 the existence of global solution under some conditions and give two sufficient conditions for the blow up of local solution in finite time, where Ω is a smooth bounded domain in RN(N>p), $0\in \Omega ,\Delta_p u={\rm div}(|\nabla u|^{p-2}\nabla u),0\le s\le 2, p\ge 2, p-1
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Wang Yang. THE EXISTENCE OF GLOBAL SOLUTION AND THE BLOWUP PROBLEM FOR SOME p-LAPLACE HEAT EQUATIONS[J].Acta mathematica scientia,Series B, 2007, 27(2): 274-282.
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URL: http://121.43.60.238/sxwlxbB/EN/10.1016/S0252-9602(07)60026-5
http://121.43.60.238/sxwlxbB/EN/Y2007/V27/I2/274
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