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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Rough invariant waves

2020/37/K/ST1/02765

Keywords:

Harmonic analysis microlocal analysis wave equations rough coefficients Fourier integral operators

Descriptors:

  • ST1_008:
  • ST1_011:
  • ST1_010:

Panel:

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

Host institution :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Jan Rozendaal 

Number of co-investigators in the project: 1

Call: POLS - announced on 2020-03-16

Amount awarded: 576 250 PLN

Project start date (Y-m-d): 2021-04-01

Project end date (Y-m-d): 2024-03-31

Project duration:: 36 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.

Information in the final report

  • Publication in academic press/journals (7)
  1. Operator-valued (Lp,Lq) Fourier multipliers and stability theory for evolution equations
    Authors:
    Jan Rozendaal
    Academic press:
    Indagationes Mathematicae (rok: 2023, tom: 34, strony: 13150), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.indag.2022.08.008 - link to the publication
  2. Local smoothing and Hardy spaces for Fourier integral operators on manifolds
    Authors:
    Naijia Liu, Jan Rozendaal, Liang Song, Lixin Yan
    Academic press:
    Journal of Functional Analysis (rok: 2024, tom: 286, strony: Paper No. 110221, 72 pp), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2023.110221 - link to the publication
  3. Local smoothing and Hardy spaces for Fourier integral operators
    Authors:
    Jan Rozendaal
    Academic press:
    Journal of Functional Analysis (rok: 2022, tom: 283, strony: Paper no. 109721, 22 pp.), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109721 - link to the publication
  4. Rough pseudodifferential operators on Hardy spaces for Fourier integral operators
    Authors:
    Jan Rozendaal
    Academic press:
    Journal d'Analyse Mathématique (rok: 2023, tom: 149, strony: 135-165), Wydawca: The Hebrew University Magnes Press
    Status:
    Published
    DOI:
    10.1007/s11854-022-0247-y - link to the publication
  5. Nonlinear wave equations with slowly decaying initial data
    Authors:
    Jan Rozendaal, Robert Schippa
    Academic press:
    Journal of Differential Equations (rok: 2023, tom: 350, strony: 152-188), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2022.12.022 - link to the publication
  6. Rough pseudodifferential operators on Hardy spaces for Fourier integral operators II
    Authors:
    Jan Rozendaal
    Academic press:
    Journal of Fourier Analysis and Applications (rok: 2022, tom: 28, strony: Paper no. 65, 27 pp.), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00041-022-09959-x - link to the publication
  7. Rough pseudodifferential operators on Hardy spaces for Fourier integral operators
    Authors:
    Jan Rozendaal
    Academic press:
    Journal d'Analyse Mathématique (rok: 2023, tom: 149, strony: 135-165), Wydawca: The Hebrew University Magnes Press
    Status:
    Published
    DOI:
    10.1007/s11854-022-0247-y - link to the publication