Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Methods of potential theory for nonlinear problems related to Lévy-type processes and operators

2023/51/B/ST1/02209

Keywords:

Lévy-type operators Lévy processes functional inequalities and identities Sobolev-Bregman forms nonlinear PDEs

Descriptors:

  • ST1_13:
  • ST1_09:
  • ST1_11:

Panel:

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

Host institution :

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Katarzyna Dominika Pietruska-Pałuba 

Number of co-investigators in the project: 3

Call: OPUS 26 - announced on 2023-09-18

Amount awarded: 439 810 PLN

Project start date (Y-m-d): 2024-06-21

Project end date (Y-m-d): 2027-06-20

Project duration:: 36 months (the same as in the proposal)

Project status: Pending project

Project description

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

Information in the final report

  • Publication in academic press/journals (2)
  1. Stable processes with reflections
    Authors:
    Krzysztof Bogdan, Markus Kunze
    Academic press:
    Stochastic Processes and their Applications (rok: 2025, tom: 187, strony: 104654, 14 pp.), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spa.2025.104654 - link to the publication
  2. Non-linear Gagliardo-Nirenberg inequality involving a second-order elliptic operator in non-divergent form
    Authors:
    Agnieszka Kałamajska, Dalimil Peša, Tomáš Roskovec
    Academic press:
    NoDEA. Nonlinear Differential Equations and Applications (rok: 2025, tom: 32, strony: Paper No. 114, 34 pp.), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00030-025-01124-9 - link to the publication