id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-5328	Wunderli, Thomas	On $L^{\infty }$ and $L^{2}$ Bounds for Weak Solutions of Time Flowsfor Certain Functionals of Linear Growth	2024	9	.pdf	application/pdf	3497	179	80	× Ω ∂u ∂n = 0 on [0, T ]× ∂Ω u(0, x) = uδ0(x) for x ∈ Ω, uδ0 ∈ BV (Ω) ∩ C∞ ( Ω ) . (2) In fact, we show the weak solution to (2) satisfies u ∈ L∞ ([0,∞);BV (Ω) ∩ L∞ (Ω)), ut ∈ L2 ((0,∞)× Ω).	cache/ejpam-5328.pdf	txt/ejpam-5328.txt