32 citations · 73 across the 12 of their papers we have counts for
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math.AP2015★ 9 cited
An -theory for the time fractional evolution equations with variable coefficients
Ildoo Kim, Kyeong-Hun Kim, Sungbin Lim
We introduce an -theory for the quasi-linear fractional equations of the type $$ \partial^α_t u(t,x)=a^{ij}(t,x)u_{x^i x^j}(t,x)+f(t,x,u), \quad t>0, \,x\in \mathbf{R}^d.…
math.AP2015★ 3 cited
An -theory for parabolic pseudo-differential equations: Calderón-Zygmund approach
Ildoo Kim, Kyeong-Hun Kim, Sungbin Lim
In this paper we present a Calderón-Zygmund approach for a large class of parabolic equations with pseudo-differential operators of arbitrary order $γ\in(0,\infty)…