Universal bounds for global solutions of a forced porous medium equation

6Citations
Citations of this article
5Readers
Mendeley users who have this article in their library.
Get full text

Abstract

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

Cite

CITATION STYLE

APA

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

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free