Global Existence of Solutions to Reaction Diffusion Systems with Mass Transport Type Boundary Conditions (1504.00323v2)

Published 1 Apr 2015 in math.AP

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.

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