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- W2076558872 abstract "In this paper we consider a semilinear parabolic equation ut=Δu−c(x,t)up for (x,t)∈Ω×(0,∞) with nonlinear and nonlocal boundary condition u∣∂Ω×(0,∞)=∫Ωk(x,y,t)uldy and nonnegative initial data where p>0 and l>0. We prove some global existence results. Criteria on this problem which determine whether the solutions blow up in finite time for large or for all nontrivial initial data are also given." @default.
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- W2076558872 date "2011-09-01" @default.
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- W2076558872 title "Blow-up problem for semilinear heat equation with absorption and a nonlocal boundary condition" @default.
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- W2076558872 doi "https://doi.org/10.1016/j.na.2011.04.027" @default.
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