Decay of mass for fractional evolution equation with memory term

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Decay of mass for fractional evolution equation with memory term

The decay properties of the mass M(t) = ∫ RN u(·, t)dx of the solutions of a fractional diffusion equation with nonlinear memory term is studied. For a suitable class of initial data and a restriction on the diffusion and nonlinear term, we show that the memory term determines the large time asymptotics, precisely, M(t) tends to zero as t→∞. AMS subject classifications: Primary: 35K55; Secondar...

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ژورنال

عنوان ژورنال: Quarterly of Applied Mathematics

سال: 2012

ISSN: 0033-569X,1552-4485

DOI: 10.1090/s0033-569x-2012-01286-4