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1

Heat kernel estimates for the fractional Laplacian with Dirichlet conditions

Bogdan, Krzysztof, Grzywny, Tomasz, Ryznar, Michał

Journal:

The Annals of Probability

Year:

2010

Language:

english

File:

PDF, 268 KB

english, 2010

2

Density and tails of unimodal convolution semigroups

Bogdan, Krzysztof, Grzywny, Tomasz, Ryznar, Michał

Journal:

Journal of Functional Analysis

Year:

2014

Language:

english

File:

PDF, 1.11 MB

english, 2014

3

Asymptotic behavior of densities of unimodal convolution semigroups

Cygan, Wojciech, Grzywny, Tomasz, Trojan, Bartosz

Journal:

Transactions of the American Mathematical Society

Year:

2017

Language:

english

File:

PDF, 295 KB

english, 2017

4

Two-Sided Optimal Bounds for Green Functions of Half-Spaces for Relativisticα-Stable Process

Tomasz Grzywny, Michał Ryznar

Journal:

Potential Analysis

Year:

2008

Language:

english

File:

PDF, 647 KB

english, 2008

5

On Harnack Inequality and Hölder Regularity for Isotropic Unimodal Lévy Processes

Journal:

Potential Analysis

Year:

2014

Language:

english

File:

PDF, 542 KB

english, 2014

6

Barriers, exit time and survival probability for unimodal Lévy processes

Bogdan, Krzysztof, Grzywny, Tomasz, Ryznar, Michał

Journal:

Probability Theory and Related Fields

Year:

2015

Language:

english

File:

PDF, 488 KB

english, 2015

7

Dirichlet heat kernel for unimodal Lévy processes

Bogdan, Krzysztof, Grzywny, Tomasz, Ryznar, Michał

Journal:

Stochastic Processes and their Applications

Year:

2014

Language:

english

File:

PDF, 407 KB

english, 2014

8

HEAT KERNEL ESTIMATES FOR THE FRACTIONAL LAPLACIAN WITH DIRICHLET CONDITIONS

Krzysztof Bogdan, Tomasz Grzywny and Michał Ryznar

Journal:

The Annals of Probability

Year:

2010

Language:

english

File:

PDF, 1.39 MB

english, 2010

9

Heat content for convolution semigroups

Cygan, Wojciech, Grzywny, Tomasz

Journal:

Journal of Mathematical Analysis and Applications

Year:

2016

Language:

english

File:

PDF, 1021 KB

english, 2016

10

Potential kernels, probabilities of hitting a ball, harmonic functions and the boundary Harnack inequality for unimodal Lévy processes

Grzywny, Tomasz, Kwaśnicki, Mateusz

Journal:

Stochastic Processes and their Applications

Year:

2017

Language:

english

File:

PDF, 622 KB

english, 2017

11

Hitting Times of Points and Intervals for Symmetric Lévy Processes

Tomasz Grzywny,Michał Ryznar

Journal:

Potential Analysis

Year:

2017

Language:

english

File:

PDF, 547 KB

english, 2017

12

Asymptotic Behaviour and Estimates of Slowly Varying Convolution Semigroups

Grzywny, Tomasz, Ryznar, Michał, Trojan, Bartosz

Journal:

International Mathematics Research Notices

Year:

2018

Language:

english

File:

PDF, 661 KB

english, 2018

13

Spectral heat content for Lévy processes

Grzywny, Tomasz, Park, Hyunchul, Song, Renming

Journal:

Mathematische Nachrichten

Year:

2018

Language:

english

File:

PDF, 307 KB

english, 2018

14

Extension and trace for nonlocal operators

Bogdan, Krzysztof, Grzywny, Tomasz, Pietruska-Pałuba, Katarzyna, Rutkowski, Artur

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2019

Language:

english

File:

PDF, 506 KB

english, 2019

15

Extension and trace for nonlocal operators

Bogdan, Krzysztof, Grzywny, Tomasz, Pietruska-Pałuba, Katarzyna, Rutkowski, Artur

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2019

File:

PDF, 506 KB

2019

16

Remarks on the Nonlocal Dirichlet Problem

Grzywny, Tomasz, Kassmann, Moritz, LeÅ¼aj, Åukasz

Journal:

Potential Analysis

Year:

2020

Language:

english

File:

PDF, 613 KB

english, 2020