Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

Regularity and asymptotics for multidimensional Markovian evolutions

2017/27/B/ST1/01339

Keywords:

jump-type Markov Process nonlocal operator Harnack inequality stationary measure excursions

Descriptors:

  • ST1_11:
  • ST1_13:

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Politechnika Wrocławska

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Krzysztof Michał Bogdan 

Number of co-investigators in the project: 5

Call: OPUS 14 - announced on 2017-09-15

Amount awarded: 672 200 PLN

Project start date (Y-m-d): 2018-07-31

Project end date (Y-m-d): 2023-04-29

Project duration:: 57 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Laptop (10 000 PLN)

Information in the final report

  • Publication in academic press/journals (8)
  1. Burkholder inequality by Bregman divergence
    Authors:
    Krzysztof Bogdan, Mateusz Więcek
    Academic press:
    Bulletin of the Polish Academy of Sciences - Mathematics (rok: 2022, tom: 70, strony: 83-90), Wydawca: Publishing house of the Institute of Mathematics of the Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.4064/ba220304-12-4 - link to the publication
  2. Heat kernels of non-local Schrödinger operators with Kato potentials
    Authors:
    Tomasz Grzywny, Kamil Kaleta, Paweł Sztonyk
    Academic press:
    Journal of Differential Equations (rok: 2022, tom: 340, strony: 273-308), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2022.08.038 - link to the publication
  3. Optimal Hardy inequality for the fractional Laplacian on Lp
    Authors:
    K. Bogdan, T. Jakubowski, J. Lenczewska, K. Pietruska-Pałuba
    Academic press:
    Journal of Functional Analysis (rok: 2022, tom: 282(8), strony: Paper No. 109395, 31 pp), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109395 - link to the publication
  4. Strong Feller property for SDEs driven by multiplicative cylindrical stable noise
    Authors:
    Michal Ryznar, Tadeusz Kulczycki, Paweł Sztonyk
    Academic press:
    Potential Analysis (rok: 2021, tom: 55, strony: 75-126), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s11118-020-09850-8 - link to the publication
  5. Self-similar solution for Hardy operator
    Authors:
    K. Bogdan, T. Jakubowski, P. Kim, D. Pilarczyk
    Academic press:
    Journal of Functional Analysis (rok: 2023, tom: 285, strony: 40), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2023.110014 - link to the publication
  6. The Douglas formula in Lp
    Authors:
    Krzysztof Bogdan, Damian Fafula and Artur Rutkowski
    Academic press:
    Nonlinear Differential Equations and Applications NoDEA (rok: 2023, tom: 30, strony: 22), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00030-023-00865-9 - link to the publication
  7. Yaglom limit for unimodal Lévy processes
    Authors:
    Gavin Armstrong, Krzysztof Bogdan, Tomasz Grzywny, Łukasz Leżaj, Longmin Wang
    Academic press:
    Annales de l'Institut Henri Poincaré (rok: 2023, tom: 59, strony: 1688-1721), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1214/22-AIHP1301 - link to the publication
  8. Nonlinear nonlocal Douglas identity
    Authors:
    K. Bogdan, T. Grzywny, K. Pietruska-Pałuba, A. Rutkowski
    Academic press:
    Calculus of Variatons and Partal Differental Equations (rok: 2023, tom: 62, strony: 31), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-023-02458-x - link to the publication

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy