Asymptotic estimates of solutions to time-fractional diffusion equations with space-dependent variable order

2019/01/09 by Kian, Yavar, Sambou, Diomba, Soccorsi, Eric
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1901.02958

Abstract

We examine the short and long-time behaviors of time-fractional diffusion equations with variable space-dependent order. More precisely, we describe the time-evolution of the solution to these equations as the time parameter goes either to zero or to infinity.

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