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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Geometric quantities related to nonlocal equations

2019/33/B/ST1/02494

Keywords:

nonlocal perimeter minimal surface nonlocal mean curvature nonlocal Bernoulli free-boundary problem nonlocal heat content isoperimetric inequality,

Descriptors:

  • ST1_011:
  • ST1_013:
  • ST1_005:

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):

dr hab. Tomasz Krzysztof Grzywny 

Number of co-investigators in the project: 4

Call: OPUS 17 - announced on 2019-03-15

Amount awarded: 635 800 PLN

Project start date (Y-m-d): 2020-02-17

Project end date (Y-m-d): 2024-08-16

Project duration:: 54 months (the same as in the proposal)

Project status: Project settled

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 (7)
  1. Asymptotic expansion of the nonlocal heat content
    Authors:
    Tomasz Grzywny, Julia Lenczewska
    Academic press:
    Studia Mathematica (rok: 2023, tom: 270, strony: 339-359), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/sm220831-26-1 - link to the publication
  2. Sharp Hardy inequalities for Sobolev–Bregman forms
    Authors:
    Michał Kijaczko, Julia Lenczewska
    Academic press:
    Mathematische Nachrichten (rok: 2024, tom: 297, strony: 549-559), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mana.202100494 - link to the publication
  3. Asymptotics of non-local perimeters
    Authors:
    Wojciech Cygan, Tomasz Grzywny
    Academic press:
    Annali di Matematica Pura ed Applicata (rok: 2023, tom: 202, strony: 2629-2651), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10231-023-01332-z - link to the publication
  4. On the interior Bernoulli free boundary problem for the fractional Laplacian on an interval
    Authors:
    Tadeusz Kulczycki, Jacek Wszoła
    Academic press:
    Collectanea Mathematica (rok: 2023, tom: 2023, strony: 45681), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13348-023-00417-5 - link to the publication
  5. On the Bernoulli free boundary problems for the half Laplacian and for the spectral half Laplacian
    Authors:
    Sven Jarohs; Tadeusz Kulczycki; Paolo Salani
    Academic press:
    Nonlinear Analysis (rok: 2022, tom: 222, strony: 112956), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2022.112956 - link to the publication
  6. Asymptotics of non-local perimeters
    Authors:
    Wojciech Cygan, Tomasz Grzywny
    Academic press:
    Annali di Matematica Pura ed Applicata (rok: 2023, tom: 202, strony: 2629-2651), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10231-023-01332-z - link to the publication
  7. Asymptotic expansion of the nonlocal heat content
    Authors:
    Tomasz Grzywny, Julia Lenczewska
    Academic press:
    Studia Mathematica (rok: 2023, tom: 270, strony: 339-359), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/sm220831-26-1 - link to the publication

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