23 citations · 99 across the 56 of their papers we have counts for
Showing 2017 · math.CAShow all
2 papers · 2 filters
math.CA2017★ 1 cited
Sobolev inequalities on product Sierpinski spaces
Xuan Liu, Zhongmin Qian
On fractals, different measures (mutually singular in general) are involved to measure volumes of sets and energies of functions. Singularity of measures brings difficulties in (es…
math.CA2017★ 4 cited
Parabolic type equations associated with the Dirichlet form on the Sierpinski gasket
Xuan Liu, Zhongmin Qian
By using the analytic tools of Dirichlet forms, we initiate a study of some non-linear parabolic equations on Sierpinski gasket, motivated by modellings of fluid flows along a frac…