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Potential theory of subordinate killed Brownian motion

Transactions of the American Mathematical Society, 2019-03, Vol.371 (6), p.3917-3969

2019

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

Journal of the Mathematical Society of Japan, 2023-04, Vol.75 (2)

2023

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

Potential analysis, 2018-07, Vol.49 (1), p.37-90

2018

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Fractional time stochastic partial differential equations

Stochastic processes and their applications, 2015-04, Vol.125 (4), p.1470-1499

2015

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An L_p-theory for diffusion equations related to stochastic processes with non-stationary independent increment

Transactions of the American Mathematical Society, 2019-05, Vol.371 (5), p.3417

2019

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Time fractional Poisson equations: Representations and estimates

Journal of functional analysis, 2020-01, Vol.278 (2), p.108311, Article 108311

2020

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Heat kernels for reflected diffusions with jumps on inner uniform domains

Transactions of the American Mathematical Society, 2022-10, Vol.375 (10), p.6797-6841

2022

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Green function estimates for subordinate Brownian motions: Stable and beyond

Transactions of the American Mathematical Society, 2014-08, Vol.366 (8), p.4383-4422

2014

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Laws of the iterated logarithm for symmetric jump processes

Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability, 2017-11, Vol.23 (4A), p.2330-2379

2017

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Determining the Optimal Inversion Time for Synthetic Late Gadolinium Enhancement Images Based on the Post T1 Map Value of Normal Myocardium

Journal of cardiovascular magnetic resonance, 2024, Vol.26, p.100886, Article 100886

2024

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Hardy Inequalities and Non-explosion Results for Semigroups

Potential analysis, 2016-02, Vol.44 (2), p.229-247

2016

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Global heat kernel estimates for symmetric jump processes

Transactions of the American Mathematical Society, 2011-09, Vol.363 (9), p.5021-5055

2011

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Dirichlet heat kernel estimates for rotationally symmetric Lévy processes

Proceedings of the London Mathematical Society, 2014-07, Vol.109 (1), p.90-120

2014

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

Transactions of the American Mathematical Society, 2012-08, Vol.364 (8), p.4169-4205

2012

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The image quality and diagnostic accuracy of T1-mapping-based synthetic late gadolinium enhancement imaging: comparison with conventional late gadolinium enhancement imaging in real-life clinical situation

Journal of cardiovascular magnetic resonance, 2022-04, Vol.24 (1), p.28-28, Article 28

2022

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Harnack inequalities for subordinate Brownian motions

Electronic journal of probability, 2012, Vol.17 (none)

2012

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

Transactions of the American Mathematical Society, 2015-07, Vol.367 (7), p.5237-5270

2015

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Heat kernel estimates for time fractional equations

Forum mathematicum, 2018-09, Vol.30 (5), p.1163-1192

2018

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Clinical Utility for Radiomics Features of Cardiac MR Images for the Diagnosis of Myocardial Diseases

Journal of cardiovascular magnetic resonance, 2024, Vol.26, p.100728, Article 100728

2024

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Sharp heat kernel estimates for relativistic stable processes in open sets

The Annals of probability, 2012-01, Vol.40 (1)

2012

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Discrete approximation of symmetric jump processes on metric measure spaces

Probability theory and related fields, 2013-04, Vol.155 (3-4), p.703-749

2013

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Two‐sided Green function estimates for killed subordinate Brownian motions

Proceedings of the London Mathematical Society, 2012-05, Vol.104 (5), p.927-958

2012

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

Mathematische annalen, 2008-12, Vol.342 (4), p.833-883

2008

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

Science China. Mathematics, 2012-11, Vol.55 (11), p.2317-2333

2012

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

Stochastic processes and their applications, 2021-09, Vol.139, p.229-279

2021

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Potential theory of subordinate killed Brownian motion

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

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

Fractional time stochastic partial differential equations

An L_p-theory for diffusion equations related to stochastic processes with non-stationary independent increment

Time fractional Poisson equations: Representations and estimates

Heat kernels for reflected diffusions with jumps on inner uniform domains

Green function estimates for subordinate Brownian motions: Stable and beyond

Laws of the iterated logarithm for symmetric jump processes

Determining the Optimal Inversion Time for Synthetic Late Gadolinium Enhancement Images Based on the Post T1 Map Value of Normal Myocardium

Hardy Inequalities and Non-explosion Results for Semigroups

Global heat kernel estimates for symmetric jump processes

Dirichlet heat kernel estimates for rotationally symmetric Lévy processes

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

The image quality and diagnostic accuracy of T1-mapping-based synthetic late gadolinium enhancement imaging: comparison with conventional late gadolinium enhancement imaging in real-life clinical situation

Harnack inequalities for subordinate Brownian motions

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

Heat kernel estimates for time fractional equations

Clinical Utility for Radiomics Features of Cardiac MR Images for the Diagnosis of Myocardial Diseases

Sharp heat kernel estimates for relativistic stable processes in open sets

Discrete approximation of symmetric jump processes on metric measure spaces

Two‐sided Green function estimates for killed subordinate Brownian motions

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

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

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

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