S. Shi

activity

20112019

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math.AP2019

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations

Jizheng Huang, Pengtao Li, Yu Liu +1

Let $(M, d, μ)$ be a metric measure space with upper and lower densities: $$ \begin{cases} |||μ|||_β:=\sup_{(x,r)\in \mathbb M\times(0,\infty)} μ(B(x,r))r^{-β}<\infty;\\ |||…

math.AP2015

A Tracing of the Fractional Temperature Field

S. G. Shi, J. Xiao

This note is devoted to a study of $L^{q}$ -tracing of the fractional temperature field $u (t, x)$ -- the weak solution of the fractional heat equation $(\partial_t+(-Δ_x)^α)u(t,x)=g(t,…