Publications

Seminars:
  1. Non-local operators, probability and singularities: NonLocalOperators
  2. Theory of Markov Semigroups and Schrodinger Operators: MarkovProcessesWroclaw


Preprints:
  1. Grzywny Tomasz, Palmowski Zbigniew, Szczypkowski Karol, Trojan Bartosz,
    Stationary states for stable processes with partial resetting,
    preprint
Papers:
  1. Minecki Jakub, Szczypkowski Karol,
    Non-symmetric Levy-type operators,
    accepted in Mathematische Nachrichten
  2. Jakubowski Tomasz, Kaleta Kamil, Szczypkowski Karol,
    Relativistic stable operators with critical potentials,
    Doc. Math. 29 (2024), 209-245
  3. Szczypkowski Karol,
    Fundamental solution for super-critical non-symmetric Levy-type operators,
    Adv. Differential Equations 29 (5/6), 291-338, (May/June 2024) DOI: 10.57262/ade029-0506-291
  4. Szczypkowski Karol,
    Regularity of fundamental solutions for Levy-type operators,
    Bulletin Polish Acad. Sci. Math. 71 (2023) , 169-191
  5. 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
  6. Jakubowski Tomasz, Szczypkowski Karol,
    Sharp and plain estimates for Schrödinger perturbation of Gaussian kernel,
    Journal d'Analyse Mathematique, DOI: 10.1007/s11854-023-0299-7
  7. 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
  8. Grzywny Tomasz, Szczypkowski Karol,
    Estimates of heat kernels of non-symmetric Levy processes,
    Forum Math. 33 (2021), no. 5, 1207-1236
  9. Grzywny Tomasz, Szczypkowski Karol,
    Levy processes: concentration function and heat kernel bounds,
    Bernoulli 26(4), 2020, 3191-3223
  10. Grzywny Tomasz, Szczypkowski Karol,
    Heat kernels of non-symmetric Levy-type operators,
    J. Differential Equations 267 (10) (2019), 6004 - 6064
  11. Bogdan Krzysztof, Dziubanski Jacek, Szczypkowski Karol,
    Sharp Gaussian estimates for heat kernels of Schrödinger operators,
    Integr. Equ. Oper. Theory (2019) 91:3
  12. Grzywny Tomasz, Szczypkowski Karol,
    Kato classes for Levy processes,
    Potential Anal (2017) 47:245-276
  13. Bogdan Krzysztof, Butko Yana, Szczypkowski Karol,
    Majorizatoin, 4G Theorem and Schrödinger perturbations,
    J. Evol. Equ. 16 (2016), 241-260
  14. Bogdan Krzysztof, Szczypkowski Karol,
    Gaussian estimates for Schrödinger perturbations,
    Studia Math. 221 (2) (2014), 151-173
  15. Szczypkowski Karol,
    Gradient perturbations of the sum of two fractional Laplacians,
    Probab. Math. Statist. Vol. 32, Fasc. 1 (2012), pp. 41-46
  16. Jakubowski Tomasz, Szczypkowski Karol,
    Estimates of gradient perturbation series,
    J. Math. Anal. Appl. 389 (2012), 452-460
  17. Jakubowski Tomasz, Szczypkowski Karol,
    Time-dependent gradient perturbations of fractional Laplacian,
    J. Evol. Equ. 10 (2010), 319-339