id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-3877	Nkombo, Quincy Stevene; Li, Fengquan	Radon Measure-valued Solutions for Nonlinear Strongly Degenerate Parabolic Equations with Measure Data	2021	30	.pdf	application/pdf	10310	689	87	= ∫ T 0 u(·, t)(Et)dt where Et = {x ∈ Ω/(x, t) ∈ E} (c) there exists a constant C > 0 such that ess sup t∈(0,T ) ‖ u(·, t) ‖M(Ω)≤ C. In the following, we will use the notation ‖ u ‖L∞((0,T ),M(Ω))= ess sup t∈(0,T ) ‖ u(·, t) ‖M(Ω) . There holds 1 τ ∫ t+τ t 〈u(s), ρ〉Ω ds− 〈u0, ρ〉Ω = ∫ T 0 ητ (s)ds ∫ Ω ψ(ur)∆ρdx+ ∫ T 0 ητ (s) ∫ Ω ρdµ. Since ητ (s) → χ(0,t] for every s ∈ (0, T ) as τ → 0	cache/ejpam-3877.pdf	txt/ejpam-3877.txt