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

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  • 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.
    Mathematics Subject Classification: Primary: 35K65, 35R10; Secondary: 34G25, 35K90.


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