Sungbin Lim

activity

20152020

most citedtorchgpipe: On-the-fly Pipeline Parallelism for Training Giant Models

32 citations · 79 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.AP2015★ 9 cited

An $L_{q} (L_{p})$ -theory for the time fractional evolution equations with variable coefficients

Ildoo Kim, Kyeong-Hun Kim, Sungbin Lim

We introduce an $L_{q} (L_{p})$ -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★ 16 cited

Asymptotic behaviors of fundamental solution and its derivatives related to space-time fractional differential equations

Kyeong-Hun Kim, Sungbin Lim

Let $p (t, x)$ be the fundamental solution to the problem $\partial_{t}^{α} u = - (- Δ)^{β} u, α \in (0, 2), β \in (0, \infty) .$ In this paper we provide the asymptotic behaviors and…

math.AP2015★ 3 cited

An $L_{q} (L_{p})$ -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 $A (t)$ of arbitrary order $γ\in(0,\infty)…

An Lq​(Lp​)-theory for the time fractional evolution equations with variable coefficients

Asymptotic behaviors of fundamental solution and its derivatives related to space-time fractional differential equations

An Lq​(Lp​)-theory for parabolic pseudo-differential equations: Calderón-Zygmund approach

An $L_{q} (L_{p})$ -theory for the time fractional evolution equations with variable coefficients

An $L_{q} (L_{p})$ -theory for parabolic pseudo-differential equations: Calderón-Zygmund approach