American Institute of Mathematical Sciences

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2011, 2011(Special): 660-671. doi: 10.3934/proc.2011.2011.660

Global existence for a functional reaction-diffusion problem from climate modeling

Georg Hetzer 1,

1. 

Department of Mathematics, Auburn University, AL 36849-5310

Received  July 2010 Revised  April 2010 Published  October 2011

Motivated by coupling an energy balance climate model and a two-species competition model for the bio-sphere, one is led to study the existence of non-negative mild solutions for set-valued functional reaction-diffusion equations involving a memory term and a nonlocal Volterra-type operator. A global existence and boundedness result is established in an m-accretive setting.
Keywords: m-accretive, upper semi-continuous multi, slow diff usion, global bounded mild solution.
Mathematics Subject Classification: Primary: 35K65, 35R10; Secondary: 34G25, 35K90.
Citation: Georg Hetzer. Global existence for a functional reaction-diffusion problem from climate modeling. Conference Publications, 2011, 2011 (Special) : 660-671. doi: 10.3934/proc.2011.2011.660
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