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- W2040750272 abstract "We show that in a smooth bounded domain Ω⊂Rn, n⩾2, all global nonnegative solutions of ut−Δum=up with zero boundary data are uniformly bounded in Ω×(τ,∞) by a constant depending on Ω,p and τ but not on u0, provided that 1<m<p<[(n+1)/(n−1)]m. Furthermore, we prove an a priori bound in L∞(Ω×(0,∞)) depending on ||u0||L∞(Ω) under the optimal condition 1<m<p<[(n+2)/(n−2)]m." @default.
- W2040750272 created "2016-06-24" @default.
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- W2040750272 date "2004-05-01" @default.
- W2040750272 modified "2023-09-27" @default.
- W2040750272 title "Universal bounds for global solutions of a forced porous medium equation" @default.
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- W2040750272 doi "https://doi.org/10.1016/j.na.2004.02.019" @default.
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