Jaehoon Kang

activity

20142023

most citedEstimates of Dirichlet heat kernels for unimodal Lévy processes with low intensity of small jumps

5 citations · 16 across the 8 of their papers we have counts for

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math.PR2021

Heat kernel estimates for anisotropic symmetric jump processes

Jaehoon Kang

We show two-sided bounds of heat kernel for anisotropic non-singular symmetric pure jump Markov process whose jump kernel $J (x, y)$ is comparable to $\frac{{\bf 1}_{\mathcal{V}}(x-y…

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

Heat kernel estimates for Markov processes of direction-dependent type

Jaehoon Kang, Moritz Kassmann

We prove sharp pointwise heat kernel estimates for symmetric Markov processes associated with symmetric Dirichlet forms that are local with respect to some coordinates and nonlocal…

Heat kernel estimates for anisotropic symmetric jump processes

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

Heat kernel estimates for Markov processes of direction-dependent type

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