Differential and Integral Equations

Uniform bounds for solutions to volume-surface reaction diffusion systems

Jeff Morgan and Vandana Sharma

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We consider reaction-diffusion systems 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 criteria guaranteeing that solutions are uniformly bounded in time.

Article information

Differential Integral Equations, Volume 30, Number 5/6 (2017), 423-442.

First available in Project Euclid: 18 March 2017

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35K57: Reaction-diffusion equations 35B45: A priori estimates


Sharma, Vandana; Morgan, Jeff. Uniform bounds for solutions to volume-surface reaction diffusion systems. Differential Integral Equations 30 (2017), no. 5/6, 423--442. https://projecteuclid.org/euclid.die/1489802420

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