2022/01/23 by Adam Gregosiewicz, Gregosiewicz, Adam
Mathematics · #35R02 #47D06 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Probability (math.PR) #math.AP #math.DS #math.PR #msc:35R02 #msc:47D06
paper · pdf · doi:10.48550/arxiv.2201.09363
13 pages, 1 figure
arxiv created 2022/01/23 · arxiv updated 2022/01/25
We consider diffusion processes on metric graphs with semipermeable sticky membranes in each vertex. We prove that the process is governed by a Feller semigroup and find its asymptotic behavior as diffusion's speed increases to infinity with the same rate as permeability coefficients decreases to zero.