Daehan Park

activity

20192025

most citedA Sobolev space theory for the Stochastic Partial Differential Equations with space-time non-local operators

2 citations · 7 across the 9 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.AP2021★ 1 cited

An $L_{q} (L_{p})$ -theory for time-fractional diffusion equations with nonlocal operators generated by Lévy processes with low intensity of small jumps

Jaehoon Kang, Daehan Park

We investigate an $L_{q} (L_{p})$ -regularity ( $1 < p, q < \infty$ ) theory for space-time nonlocal equations of the type $\partial_{t}^{α} u = L u + f$ . Here, $\partial_{t}^{α}$ is the…

math.PR2021★ 2 cited

A Sobolev space theory for the Stochastic Partial Differential Equations with space-time non-local operators

Kyeong-Hun Kim, Daehan Park, Junhee Ryu

We deal with the Sobolev space theory for the stochastic partial differential equation (SPDE) driven by Wiener processes $$ \partial_{t}^αu=\left( ϕ(Δ) u +f(u) \right) + \partial_t…

math.AP2021

Weighted maximal $L_{q} (L_{p})$ -regularity theory for time-fractional diffusion-wave equations with variable coefficients

Daehan Park

We present a maximal $L_{q} (L_{p})$ -regularity theory with Muckenhoupt weights for the equation \begin{equation}\label{eqn 01.26.16:00} \partial^α_{t}u(t,x)=a^{ij}(t,x)u_{x^{i}x^{j…

An Lq​(Lp​)-theory for time-fractional diffusion equations with nonlocal operators generated by Lévy processes with low intensity of small jumps

A Sobolev space theory for the Stochastic Partial Differential Equations with space-time non-local operators

Weighted maximal Lq​(Lp​)-regularity theory for time-fractional diffusion-wave equations with variable coefficients

An $L_{q} (L_{p})$ -theory for time-fractional diffusion equations with nonlocal operators generated by Lévy processes with low intensity of small jumps

Weighted maximal $L_{q} (L_{p})$ -regularity theory for time-fractional diffusion-wave equations with variable coefficients