Uniqueness for weak solutions of parabolic equations with a fractional time derivative

2017/05/10 by Allen, Mark
#35K90 #35R09 #35R11 #45K05 #45N05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1705.03959

Abstract

We prove uniqueness for weak solutions to abstract parabolic equations with the fractional Marchaud or Caputo time derivative. We consider weak solutions in time for divergence form equations when the fractional derivative is transferred to the test function.

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