Families of Operators Describing Diffusion Through Permeable Membranes

DOI10.1007/978-3-319-18494-4_6OpenAlexW2417656632MaRDI QIDQ2801682

Adam Bobrowski

Publication date: 21 April 2016

Published in: Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-18494-4_6

zbMATH Keywords

method of imagescosine familiestransmission conditionsdifferential operators with integral conditionsstrongly-continuous semigroupspermeable membranessnapping-out Brownian motion

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Heat equation (35K05) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Transition functions, generators and resolvents (60J35) General biology and biomathematics (92B05)

Related Items (4)

Diffusion approximation for a simple kinetic model with asymmetric interface ⋮ An averaging principle for fast diffusions in domains separated by semi-permeable membranes ⋮ Pairs of complementary transmission conditions for Brownian motion ⋮ A Monte Carlo estimation of the mean residence time in cells surrounded by thin layers

This page was built for publication: Families of Operators Describing Diffusion Through Permeable Membranes