id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-141	Diaz, Jesus Ildefonso; Shaposhnikova, Tatiana A.; Zubova, Maria N.	A strange non-local monotone operator arising in the homogenization of a diffusion equation with dynamic nonlinear boundary conditions on particles of critical size and arbitrary shape	2022	32	.pdf	application/pdf	14087	647	76	= −C0g(x, t) + C0∂tφ(x, t), y ∈ ∂G0, t ∈ (0, T ), wφ(x, y, 0) = φ(x, 0), y ∈ ∂G0, wφ → 0, |y| → ∞. (6.13) We consider the sequence of solutions {wφ,R} to the problems ∆ywφ,R = 0, y ∈ T 0 R \G0, t ∈ (0, T ), C0∂twφ,R + ∂νwφ,R − C0σ(φ− wφ,R) Using the maximum principle, we derive the estimate |wφ,R| ≤ K0R0 |y|n−2 , y ∈ T 0 R \G0, t ∈ (0, T ).	cache/ejde-141.pdf	txt/ejde-141.txt