P. Kim

发表

Fractional time stochastic partial differential equations

Zhen-Qing Chen, Kyeong-Hun Kim, P. Kim, 2014, 1404.1546.

Potential theory of truncated stable processes

R. Song, P. Kim, 2006, math/0605533.

Potential theory of Dirichlet forms degenerate at the boundary: the case of no killing potential

R. Song, P. Kim, Z. Vondravcek, 2021, 2110.11653.

Potential theory of subordinate killed Brownian motion

R. Song, P. Kim, Z. Vondravcek, 2016, Transactions of the American Mathematical Society.

DIRICHLET HEAT KERNEL ESTIMATES FOR Δ + Δ

Zhen-Qing Chen, R. Song, P. Kim, 2012 .

Dirichlet heat kernel estimates for Δα/2 + Δβ/2

Zhen-Qing Chen, R. Song, P. Kim, 2010 .

PR ] 1 9 Ju n 20 06 Potential Theory of Truncated Stable Processes

R. Song, P. Kim, 2008 .

Se p 20 06 Potential Theory of Truncated Stable Processes

R. Song, P. Kim, 2006 .

Accessibility, Martin boundary and minimal thinness for Feller processes in metric measure spaces

R. Song, P. Kim, Z. Vondravcek, 2015, Revista Matemática Iberoamericana.

Martin boundary of unbounded sets for purely discontinuous Feller processes

R. Song, P. Kim, Z. Vondraček, 2015, 1510.04574.

Martin boundary for some symmetric Lévy processes

R. Song, P. Kim, Z. Vondravcek, 2014, 1405.0295.

Boundary Behavior of Harmonic Functions for Truncated Stable Processes

R. Song, P. Kim, 2006, math/0606706.

On dual processes of non-symmetric diffusions with measure-valued drifts

R. Song, P. Kim, 2006, math/0605556.

General Law of iterated logarithm for Markov processes: Liminf laws

P. Kim, Jaehun Lee, Soobin Cho, 2022, 2206.08850.

and Their Applications

Panki Kim, Zhen-Qing Chen, Zhen-Qing Chen, 2010 .

Erratum to: “Intrinsic ultracontractivity for non-symmetric Lévy processes” [Forum Math. 21 (2009) 43–66]

R. Song, P. Kim, 2009 .

Positive self-similar Markov processes obtained by resurrection

R. Song, P. Kim, Z. Vondravcek, 2022, 2206.06189.

Intrinsic ultracontractivity of nonsymmetric diffusions with measure-valued drifts and potentials

R. Song, P. Kim, 2006, math/0605757.

Boundary Harnack principle for $\Delta + \Delta^{\alpha/2}$

Zhen-Qing Chen, R. Song, P. Kim, 2009, 0908.1559.

Boundary Harnack principle for Brownian motions with measure-valued drifts in bounded Lipschitz domains

R. Song, P. Kim, 2007 .

Potential theory of Dirichlet forms with jump kernels blowing up at the boundary

R. Song, P. Kim, Z. Vondravcek, 2022, 2208.09192.

Sharp two-sided Green function estimates for Dirichlet forms degenerate at the boundary

R. Song, P. Kim, Z. Vondravcek, 2020, Journal of the European Mathematical Society.

Scale Invariant Boundary Harnack Principle at Infinity for Feller Processes

R. Song, P. Kim, Z. Vondraček, 2015, 1510.04569.

Boundary Behavior of Harmonic Functions for Truncated Stable Processes

R. Song, P. Kim, 2006, math/0606706.

On dual processes of non-symmetric diffusions with measure-valued drifts

R. Song, P. Kim, 2006, math/0605556.

9th International Conference on Stochastic Analysis and its Applications

Jonas M. Tölle, Minoru W. Yoshida, J. Norris, 2018 .

Positive self-similar Markov processes obtained by resurrection

R. Song, P. Kim, Z. Vondravcek, 2022, Stochastic Processes and their Applications.

Boundary Harnack Principle and Martin Boundary at Infinity for Subordinate Brownian Motions

R. Song, P. Kim, Z. Vondraček, 2013, Potential Analysis.

Estimates on transition densities of subordinators with jumping density decaying in mixed polynomial orders

P. Kim, Soobin Cho, 2019, 1912.10565.

Tangential Limits for Harmonic Functions with Respect to ϕ(Δ): Stable and Beyond

P. Kim, Jaehoon Kang, 2014, Potential Analysis.

Discrete approximation of symmetric jump processes on metric measure spaces

Zhen-Qing Chen, P. Kim, T. Kumagai, 2012, Probability Theory and Related Fields.

Intrinsic Ultracontractivity and Ground State Estimates of Non-local Dirichlet forms on Unbounded Open Sets

P. Kim, Xin Chen, Jian Wang, 2019, Communications in Mathematical Physics.

Relative Fatou's theorem for (−Δ)α/2-harmonic functions in bounded κ-fat open sets

P. Kim, 2006 .

PR ] 2 3 Ja n 20 04 Relative Fatou ’ s Theorem for ( − ∆ ) α / 2-harmonic Functions in Bounded κ-fat Open Set ∗

P. Kim, 2006 .

Relative Fatou's Theorem for $(-\Delta)^{\alpha/2}$-harmonic Functions in Bounded $\kappa$-fat Open Set

P. Kim, 2004, math/0401309.

Fatou's Theorem for censored stable processes

P. Kim, 2003 .

Asymptotical properties of distributions of isotropic Lévy processes

P. Kim, Ante Mimica, 2016, Stochastic Processes and their Applications.

ASYMPTOTICAL PROPERTIES OF DISTRIBUTIONS OF

P. Kim, Ante Mimica, 2016 .

T. Jakubowski, K. Bogdan, P. Kim, 2022, 2203.02039.

Minimal thinness with respect to subordinate killed Brownian motions

R. Song, P. Kim, Z. Vondraček, 2015, 1503.03153.

Tangential Limits for Harmonic Functions with Respect to ϕ(Δ): Stable and Beyond

P. Kim, Jaehoon Kang, 2014, 1405.2141.

Minimal thinness with respect to symmetric Lévy processes

R. Song, P. Kim, Z. Vondravcek, 2014, 1405.0297.

Parabolic Littlewood-Paley inequality for $\phi(-\Delta)$-type operators and applications to Stochastic integro-differential equations

Kyeong-Hun Kim, P. Kim, Ildoo Kim, 2013, 1302.5053.

Two-sided estimates on the density of Brownian motion with singular drift

R. Song, P. Kim, 2006 .

An Lp-theory of a class of stochastic equations with the random fractional Laplacian driven by Lévy processes

Kyeong-Hun Kim, P. Kim, 2012 .

Estimates of Dirichlet heat kernel for symmetric Markov processes

T. Grzywny, P. Kim, Kyung-Youn Kim, 2015, Stochastic Processes and their Applications.

Boundary Harnack principle for Δ+Δ^{/2}

Zhen-Qing Chen, R. Song, P. Kim, 2012 .

Heat kernel estimates for Δ+Δα/2 in C1, 1 open sets

Renming Song, Zhen-Qing Chen, Panki Kim, 2011, J. Lond. Math. Soc..

Potential theory of subordinate Brownian motions with Gaussian components

R. Song, P. Kim, Z. Vondraček, 2011, 1106.5858.

PR ] 5 F eb 2 01 0 Heat Kernel Estimate for ∆ + ∆ α / 2 in C 1 , 1 open sets

Zhen-Qing Chen, R. Song, P. Kim, 2010 .

Heat Kernel Estimate for ∆ + ∆ α / 2 in C 1 , 1 open sets ( To appear

Zhen-Qing Chen, R. Song, P. Kim, 2010 .

Sharp Green Function Estimates for $\Delta + \Delta^{\alpha/2}$ in $C^{1,1}$ Open Sets and Their Applications

Zhen-Qing Chen, R. Song, P. Kim, 2009, 0912.2765.

PR ] 1 0 N ov 2 00 9 Boundary Harnack principle for ∆ + ∆ α / 2

Zhen-Qing Chen, R. Song, P. Kim, 2009 .

BOUNDARY HARNACK PRINCIPLE FOR Δ+Δ

Zhen-Qing Chen, R. Song, P. Kim, 2009 .

SHARP GREEN FUNCTION ESTIMATES FOR Δ + Δ IN C OPEN SETS AND THEIR APPLICATIONS

Zhen-Qing Chen, R. Song, P. Kim, 2009 .

On estimates of Poisson kernels for symmetric Levy processes

P. Kim, Jaehoon Kang, 2013 .

Intrinsic Ultracontractivity and Ground State Estimates of Non-local Dirichlet forms on Unbounded Open Sets

Jian Wang, P. Kim, Xin Chen, 2019, Communications in Mathematical Physics.

Heat kernel estimates for time fractional equations

Jian Wang, Takashi Kumagai, Panki Kim, 2017, Forum Mathematicum.

Stable process with singular drift

R. Song, P. Kim, 2014 .

Heat kernel estimates for the Dirichlet fractional Laplacian

Renming Song, Panki Kim, Zhen-Qing Chen, 2009 .

Weighted Poincaré inequality and heat kernel estimates for finite range jump processes

Zhen-Qing Chen, P. Kim, T. Kumagai, 2008 .

Heat Kernel Estimates for Truncated Stable-like Processes and Weighted Poincaré Inequality

Zhen-Qing Chen, P. Kim, T. Kumagai, 2007 .

Heat kernel upper bounds for symmetric Markov semigroups

Takashi Kumagai, Jian Wang, Panki Kim, 2020, Journal of Functional Analysis.

Factorization and estimates of Dirichlet heat kernels for non-local operators with critical killings

R. Song, P. Kim, Z. Vondravcek, 2018, Journal de Mathématiques Pures et Appliquées.

Hardy Inequalities and Non-explosion Results for Semigroups

K. Bogdan, P. Kim, Bartłomiej Dyda, 2014, 1412.7717.

Two-sided estimates on Dirichlet heat kernels for time-dependent parabolic operators with singular drifts in C1,α-domains

P. Kim, Sungwon Cho, Hyein Park, 2012 .

Heat Kernels of Non-symmetric Jump Processes: Beyond the Stable Case

R. Song, P. Kim, Z. Vondraček, 2016, Potential Analysis.

L'INSTITUT FOURIER

R. Song, P. Kim, Zoran Vondra ˇ Cek, 2006 .

Two-sided Dirichlet heat estimates of symmetric stable processes on horn-shaped regions

Xin Chen, Panki Kim, Jian Wang, 2021, 2101.12513.

Intrinsic Ultracontractivity of Non-local Dirichlet forms on Unbounded Open Sets

Jian Wang, P. Kim, Xin Chen, 2017, 1706.08031.

Two-sided Dirichlet heat kernel estimates of symmetric stable processes on horn-shaped regions

Jian Wang, P. Kim, Xin Chen, 2021, Mathematische Annalen.

Two-sided estimates for the transition densities of symmetric Markov processes dominated by stable-like processes in C1,η open sets

P. Kim, Kyung-Youn Kim, 2014, 1402.4660.

Boundary Harnack Principle and Martin Boundary at Infinity for Subordinate Brownian Motions

R. Song, P. Kim, Z. Vondraček, 2012, 1212.3094.

Oscillation of harmonic functions for subordinate Brownian motion and its applications

P. Kim, Yunju Lee, 2012, 1208.5196.

Green function estimates for subordinate Brownian motions : stable and beyond

P. Kim, Ante Mimica, 2012, 1208.5112.

Uniform boundary Harnack principle for rotationally symmetric Lévy processes in general open sets

R. Song, P. Kim, Z. Vondraček, 2011, 1109.5764.

Boundary Harnack principle for subordinate Brownian motions

R. Song, P. Kim, Z. Vondraček, 2007, 0708.2583.

Green function estimate for censored stable processes

Zhen-Qing Chen, P. Kim, 2002 .

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

P. Kim, Soobin Cho, Jaehoon Kang, 2019, Journal of the London Mathematical Society.

Tangential limits for harmonic functions with respect to $\phi(\Delta)$ : stable and beyond

P. Kim, Jaehoon Kang, 2014 .

Potential theory of subordinate Brownian motions revisited

R. Song, P. Kim, Z. Vondraček, 2011, 1102.1369.

Two‐sided Green function estimates for killed subordinate Brownian motions

R. Song, P. Kim, Z. Vondraček, 2010, 1007.5455.

Boundary regularity for nonlocal operators with kernels of variable orders

P. Kim, Jaehun Lee, Minhyun Kim, 2018, Journal of Functional Analysis.

Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation

Zhen-Qing Chen, R. Song, P. Kim, 2010, 1011.3273.

Potential theory of truncated stable processes

R. Song, P. Kim, 2006, math/0605533.

Global uniform boundary Harnack principle with explicit decay rate and its application

R. Song, P. Kim, Z. Vondravcek, 2012, 1212.3092.

Sharp heat kernel estimates for relativistic stable processes in open sets

Zhen-Qing Chen, R. Song, P. Kim, 2009, 0908.1509.

Minimal thinness for subordinate Brownian motion in half space

R. Song, P. Kim, Z. Vondraček, 2010, 1010.0662.

Stability of Martin boundary under non-local Feynman-Kac perturbations

Zhen-Qing Chen, P. Kim, 2004 .

Stability of Dirichlet heat kernel estimates for non-local operators under Feynman-Kac perturbation

Zhen-Qing Chen, R. Song, P. Kim, 2011, 1112.3401.

Global Heat Kernel Estimates for Relativistic Stable Processes in Half-space-like Open Sets

Zhen-Qing Chen, R. Song, P. Kim, 2012 .

Global heat kernel estimate for relativistic stable processes in exterior open sets

Zhen-Qing Chen, R. Song, P. Kim, 2011, 1112.2778.

Corrigendum to “Global heat kernel estimates for symmetric jump processes”

Zhen-Qing Chen, P. Kim, T. Kumagai, 2011 .

Intrinsic ultracontractivity for non-symmetric Lévy processes

R. Song, P. Kim, 2006, math/0606678.

Two-sided heat kernel estimates for censored stable-like processes

Zhen-Qing Chen, R. Song, P. Kim, 2010 .

On the Potential Theory of One-dimensional Subordinate Brownian Motions with Continuous Components

R. Song, P. Kim, Z. Vondraček, 2010 .

On the Boundary Theory of Subordinate Killed Lévy Processes

R. Song, P. Kim, Z. Vondraček, 2019, Potential Analysis.

On the Boundary Theory of Subordinate Killed Lévy Processes

R. Song, P. Kim, Z. Vondraček, 2017, Potential Analysis.

Dirichlet Heat Kernel Estimates for Stable Processes with Singular Drift In Unbounded C1,1 Open Sets

R. Song, P. Kim, 2014 .

Dirichlet heat kernel estimates for rotationally symmetric Lévy processes

Zhen-Qing Chen, R. Song, P. Kim, 2013, 1303.6449.

Harnack inequalities for subordinate Brownian motions

P. Kim, Ante Mimica, 2012, 1202.0706.

Green function estimates for relativistic stable processes in half-space-like open sets

Zhen-Qing Chen, R. Song, P. Kim, 2011 .

Global heat kernel estimates for $\Delta+\Delta^{\alpha/2}$ in half-space-like domains

Zhen-Qing Chen, R. Song, P. Kim, 2011, 1102.1454.

Generalized 3G theorem and application to relativistic stable process on non-smooth open sets

P. Kim, Young-Ran Lee, 2006, math/0605422.

Sharp Estimates on the Green Functions of Perturbations of Subordinate Brownian Motions in Bounded $\boldsymbol{\kappa}$-Fat Open Sets

R. Song, Hyunchul Park, P. Kim, 2013 .

Sharp Estimates on the Green Functions of Perturbations of Subordinate Brownian Motions in Bounded κ-Fat Open Sets

R. Song, Hyunchul Park, P. Kim, 2011 .

PR ] 1 9 Se p 20 06 Generalized 3 G theorem and application to relativistic stable process on non-smooth open sets

P. Kim, 2008 .

PR ] 1 6 M ay 2 00 6 Generalized 3 G theorem and application to relativistic stable process on non-smooth open sets

P. Kim, Young-Ran Lee, 2006 .

T. Jakubowski, K. Bogdan, P. Kim, 2022, Journal of Functional Analysis.

Heat kernel estimates for subordinate Markov processes and their applications

Renming Song, Soobin Cho, Panki Kim, 2021, Journal of Differential Equations.

Estimates of Dirichlet heat kernels for subordinate Brownian motions.

P. Kim, Ante Mimica, 2017, 1708.08606.

Global Dirichlet Heat Kernel Estimates for Symmetric Lévy Processes in Half-Space

P. Kim, Zhengsheng Chen, 2016, Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications.

Global Dirichlet Heat Kernel Estimates for Symmetric Lévy Processes in Half-Space

Zhen-Qing Chen, P. Kim, 2015, 1504.04673.

Dirichlet Heat Kernel Estimates for $\Delta ^{\alpha /2}+ \Delta ^{\beta /2}$

Zhen-Qing Chen, R. Song, P. Kim, 2009, 0910.3266.

On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces

Zhen-Qing Chen, P. Kim, T. Kumagai, 2009 .

Parabolic Littlewood–Paley inequality for ϕ(−Δ)-type operators and applications to stochastic integro-differential equations

Kyeong-Hun Kim, P. Kim, Ildoo Kim, 2013 .

Estimates on Green functions and Schrodinger-type equations for non-symmetric diffusions with measure-valued drifts

R. Song, P. Kim, 2006, math/0605557.

Time fractional Poisson equations: Representations and estimates

Zhen-Qing Chen, Jian Wang, P. Kim, 2018, Journal of Functional Analysis.

Heat kernel estimates for symmetric jump processes with mixed polynomial growths

P. Kim, Jaehun Lee, Jaehoon Kang, 2018, The Annals of Probability.

An 𝐿_{𝑝}-theory for diffusion equations related to stochastic processes with non-stationary independent increment

Kyeong-Hun Kim, P. Kim, Ildoo Kim, 2017, Transactions of the American Mathematical Society.

On Estimates of Transition Density for Subordinate Brownian Motions with Gaussian Components in C1,1-open Sets

P. Kim, Joohak Bae, 2018, Potential Analysis.

On Estimates of Transition Density for Subordinate Brownian Motions with Gaussian Components in C1,1-open Sets

P. Kim, Joohak Bae, 2017, Potential Analysis.

Dirichlet Heat Kernel Estimates for Subordinate Brownian Motions with Gaussian Components

Zhen-Qing Chen, R. Song, P. Kim, 2013, 1303.6626.

Estimates on the tail probabilities of subordinators and applications to general time fractional equations

P. Kim, Soobin Cho, 2019, Stochastic Processes and their Applications.

Heat Kernels of Non-symmetric Jump Processes: Beyond the Stable Case

R. Song, P. Kim, Z. Vondraček, 2017, Potential Analysis.

PR ] 1 8 M ar 2 02 1 HEAT KERNEL ESTIMATES FOR SUBORDINATE MARKOV PROCESSES AND THEIR APPLICATIONS

R. Song, P. Kim, Z. Vondraček, 2021 .

Heat Kernel Estimate for $\Delta+\Delta^{\alpha/2}$ in $C^{1,1}$ open sets

Zhen-Qing Chen, R. Song, P. Kim, 2010, 1002.1121.

Non-symmetric Diffusions with Measure-valued Drifts and Potentials

R. Song, P. Kim, 2007 .

INTRINSIC ULTRACONTRACTIVITY OF NON-SYMMETRIC DIFFUSION SEMIGROUPS IN BOUNDED DOMAINS

R. Song, P. Kim, 2008 .

Heat kernel estimates and their stabilities for symmetric jump processes with general mixed polynomial growths on metric measure spaces

P. Kim, Jaehun Lee, Jaehoon Kang, 2019, 1904.10189.

Minimal thinness with respect to symmetric Lévy processes

R. Song, P. Kim, Z. Vondravcek, 2014, 1405.0297.

Laws of the iterated logarithm for symmetric jump processes

Jian Wang, P. Kim, T. Kumagai, 2015, 1504.06210.

On harmonic functions for trace processes

R. Song, P. Kim, Z. Vondraček, 2011 .

An L_p-theory of stochastic parabolic equations with the random fractional Laplacian driven by L\'evy processes

Kyeong-Hun Kim, P. Kim, 2011, 1111.4712.

Harnack inequality and interior regularity for Markov processes with degenerate jump kernels

R. Song, P. Kim, Z. Vondraček, 2022, Journal of Differential Equations.

Heat kernels for reflected diffusions with jumps on inner uniform domains

Jian Wang, Takashi Kumagai, Panki Kim, 2021, 2103.03381.

General Law of iterated logarithm for Markov processes: Liminf laws

P. Kim, Jaehun Lee, Soobin Cho, 2022, Transactions of the American Mathematical Society, Series B.

Laws of the iterated logarithm for occupation times of Markov processes

P. Kim, Jaehun Lee, Soobin Cho, 2022, 2211.06674.

Stability of estimates for fundamental solutions under Feynman–Kac perturbations for symmetric Markov processes

P. Kim, K. Kuwae, Daehong Kim, 2022, Journal of the Mathematical Society of Japan.

Discrete approximation of symmetric jump processes on metric measure spaces

Zhen-Qing Chen, P. Kim, T. Kumagai, 2010, 1008.5315.

Heat kernels of non-symmetric jump processes with exponentially decaying jumping kernel

Jaehun Lee, P. Kim, 2018, Stochastic Processes and their Applications.