Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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STABILITY OF BLOW-UP PATTERNS FOR THE FUJITA EQUATION

2017/26/D/ST1/00614

Keywords:

blow-up singularities regularity of solutions semilinear equations parabolic equations scaling limits criticality stability

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_12: Mathematical methods of physics

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):

dr Mikołaj Sierżęga 

Number of co-investigators in the project: 2

Call: SONATA 13 - announced on 2017-06-14

Amount awarded: 192 940 PLN

Project start date (Y-m-d): 2018-04-19

Project end date (Y-m-d): 2021-10-18

Project duration:: 42 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 (7 000 PLN)
  2. drukarka ze skanerem (1 000 PLN)

Information in the final report

  • Publication in academic press/journals (4)
  1. A blow-up dichotomy for semilinear fractional heat equations
    Authors:
    Robert Laister, Mikołaj Sierżęga
    Academic press:
    Mathematische Annalen (rok: 2021, tom: 381, strony: 75-90), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-020-02078-2 - link to the publication
  2. Existence and nonexistence of solutions to the Hardy parabolic equation
    Authors:
    Kotaro Hisa, Mikołaj Sierżęga
    Academic press:
    Discrete and Continuous Dynamical Systems (rok: 2021, tom: bd, strony: bd), Wydawca: American Institute of Mathematical Sciences
    Status:
    Submitted
    DOI:
    brak - link to the publication
  3. Well-posedness of semilinear heat equations in L^1
    Authors:
    Robert Laister, Mikołaj Sierżęga
    Academic press:
    Annales de l'Institut Henri Poincare Analyse Non Lineaire (rok: 2020, tom: 37, Issue 3, strony: 709-725), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.anihpc.2019.12.001 - link to the publication
  4. Optimal Liouville theorem for a semilinear Ornstein-Uhlenbeck equation
    Authors:
    Michał Fabisiak, Mikołaj Sierżęga
    Academic press:
    Communications on Pure and Applied Mathematics , Wydawca: John Wiley & Sons
    Status:
    Submitted
    DOI:
    brak - link to the publication

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