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Global existence of solutions to reaction-diffusion systems with mass transport type boundary conditions
Published in Society for Industrial and Applied Mathematics Publications
2016
Volume: 48
   
Issue: 6
Pages: 4202 - 4240
Abstract
We consider a reaction-diffusion system where some components react and diffuse on the boundary of a region, while other components diffuse in the interior and react with those on the boundary through mass transport. We establish local well-posedness and global existence of solutions for these systems using classical potential theory and linear estimates for initial boundary value problems. © 2016 Society for Industrial and Applied Mathematics.
About the journal
JournalSIAM Journal on Mathematical Analysis
PublisherSociety for Industrial and Applied Mathematics Publications
ISSN00361410