Publications
Seminars:
- Non-local operators, probability and singularities: NonLocalOperators
- Theory of Markov Semigroups and Schrodinger Operators: MarkovProcessesWroclaw
Preprints:
- Grzywny Tomasz, Palmowski Zbigniew, Szczypkowski Karol, Trojan Bartosz,
Stationary states for stable processes with partial resetting,
preprint
Papers:
- Minecki Jakub, Szczypkowski Karol,
Non-symmetric Levy-type operators,
Math. Nachr. 297 (2024), no. 6, 2234-2286.
- Jakubowski Tomasz, Kaleta Kamil, Szczypkowski Karol,
Relativistic stable operators with critical potentials,
Doc. Math. 29 (2024), 209-245
- Szczypkowski Karol,
Fundamental solution for super-critical non-symmetric Levy-type operators,
Adv. Differential Equations 29 (2024), no. 5-6, 291-338
- Jakubowski Tomasz, Szczypkowski Karol,
Sharp and plain estimates for Schrödinger perturbation of Gaussian kernel,
J. Anal. Math. 152 (2024), no. 1, 255-282
- Szczypkowski Karol,
Regularity of fundamental solutions for Levy-type operators,
Bulletin Polish Acad. Sci. Math. 71 (2023), 169-191
- Jakubowski Tomasz, Kaleta Kamil, Szczypkowski Karol,
Bound states and heat kernels for fractional-type Schrödinger operators with singular potentials,
Comm. Math. Phys. 403 (2023), no. 2, 795-828
- Kinzebulatov Damir, Semenov Yu. A., Szczypkowski Karol,
Heat kernel of fractional Laplacian with Hardy drift via desingularizing weights,
J. London Math. Soc. (2) 104 (2021) 1861-1900
- Grzywny Tomasz, Szczypkowski Karol,
Estimates of heat kernels of non-symmetric Levy processes,
Forum Math. 33 (2021), no. 5, 1207-1236
- Grzywny Tomasz, Szczypkowski Karol,
Levy processes: concentration function and heat kernel bounds,
Bernoulli 26(4), 2020, 3191-3223
- Grzywny Tomasz, Szczypkowski Karol,
Heat kernels of non-symmetric Levy-type operators,
J. Differential Equations 267 (10) (2019), 6004 - 6064
- Bogdan Krzysztof, Dziubanski Jacek, Szczypkowski Karol,
Sharp Gaussian estimates for heat kernels of Schrödinger operators,
Integr. Equ. Oper. Theory (2019) 91:3
- Grzywny Tomasz, Szczypkowski Karol,
Kato classes for Levy processes,
Potential Anal (2017) 47:245-276
- Bogdan Krzysztof, Butko Yana, Szczypkowski Karol,
Majorizatoin, 4G Theorem and Schrödinger perturbations,
J. Evol. Equ. 16 (2016), 241-260
- Bogdan Krzysztof, Szczypkowski Karol,
Gaussian estimates for Schrödinger perturbations,
Studia Math. 221 (2) (2014), 151-173
- Szczypkowski Karol,
Gradient perturbations of the sum of two fractional Laplacians,
Probab. Math. Statist. Vol. 32, Fasc. 1 (2012), pp. 41-46
- Jakubowski Tomasz, Szczypkowski Karol,
Estimates of gradient perturbation series,
J. Math. Anal. Appl. 389 (2012), 452-460
- Jakubowski Tomasz, Szczypkowski Karol,
Time-dependent gradient perturbations of fractional Laplacian,
J. Evol. Equ. 10 (2010), 319-339