We show that in a smooth bounded domain Ω ⊂ ℝn, n ≥ 2, all global nonnegative solutions of ut - Δu m = 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 < m < p
CITATION STYLE
Winkler, M. (2004). Universal bounds for global solutions of a forced porous medium equation. Nonlinear Analysis, Theory, Methods and Applications, 57(3), 349–362. https://doi.org/10.1016/j.na.2004.02.019
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