Global existence and uniform estimates of solutions to reaction diffusion systems with mass transport type boundary conditions

Vandana Sharma

doi:10.3934/cpaa.2021001

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2021, Volume 20, Issue 3: 955-974. Doi: 10.3934/cpaa.2021001

This issue Previous Article Next Article Discrete diffusion semigroups associated with Jacobi-Dunkl and exceptional Jacobi polynomials

Global existence and uniform estimates of solutions to reaction diffusion systems with mass transport type boundary conditions

Vandana Sharma

Department of Mathematics, Indian Institute of Technology Jodhpur, NH 65, Nagaur Road, Karwar, Jodhpur 342037, India

Received: April 30, 2020

Revised: October 31, 2020

Early access: January 2021

Published: March 2021

I acknowledge IIT Jodhpur for research grant support as SEED grant and infrastructural support

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Abstract

We consider reaction diffusion systems where components diffuse inside the domain and react on the surface through mass transport type boundary conditions. Under reasonable hypotheses, we establish the existence of component wise non-negative global solutions which are uniformly bounded in the sup norm.

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Mathematics Subject Classification: Primary: 35K57, 35B45.

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References

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