Modern trends in the theory of operator semigroups

2017/27/B/ST1/00078

Keywords

Descriptors

  • ST1_9: Algebry operatorowe i analiza funkcjonalna
  • ST1_11: Równania różniczkowe cząstkowe
  • ST1_10: Równania różniczkowe zwyczajne i układy dynamiczne

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

Voivodeship: mazowieckie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Yuriy Tomilov

Number of co-investigators in the project: 6

Call

OPUS 14 – announced on 2017-09-15

Amount awarded
526 200 PLN
Project start date
2018-06-26
Project end date
2022-12-25
Project duration
54 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. Drukarka.
  2. Skaner.
  3. Tablet graficzny.
  4. Ultrabook.
  5. Ultrabook (3 pcs). Cost: 18 000 PLN

Information in the final report

Publication in academic press/journals (20)

  1. The theory of Besov functional calculus: developments and applications to semigroups

    Authors:
    Ch. Batty, A. Gomilko, Y. Tomilov
    Academic press:
    Journal of Functional Analysis (year: 2021, volume: 281, pages: Paper No. 109089), Publisher: Elsevier B. V.
    Status:
    Published
    DOI:
    10.1016/j.jfa.2021.109089 – link to the publication
  2. Rough pseudodifferential operators on Hardy spaces for Fourier integral operators

    Authors:
    J. Rozendaal
    Academic press:
    Journal d'Analyse Mathématique (year: 2023, volume: 149, pages: 135-165), Publisher: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s11854-022-0247-y – link to the publication
  3. Functional calculi for sectorial operators and related function theory

    Authors:
    Ch. Batty, A. Gomilko, Y. Tomilov
    Academic press:
    Journal of the Institute of Mathematics of Jussieu (year: 2021, volume: 22, pages: 1383 - 1463), Publisher: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S1474748021000414 – link to the publication
  4. Non-uniform ergodic properties of Hamiltonian flows with impacts

    Authors:
    K. Frączek, V. Rom-Kedar
    Academic press:
    Ergodic Theory and Dynamical Systems (year: 2023, volume: 43, pages: 190–252), Publisher: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2021.106 – link to the publication
  5. Non-uniform Stability of Damped Contraction Semigroups

    Authors:
    Ralph Chill, Lassi Paunonen, David Seifert, Reinhard Stahn and Yuri Tomilov
    Academic press:
    Analysis & PDE (year: 2023, volume: 16, pages: 1089–1132), Publisher: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/apde.2023.16.1089 – link to the publication
  6. Asymptotic behavior of solutions of the Dirac system with an integrable potential

    Authors:
    Ł. Rzepnicki
    Academic press:
    Integral Equations and Operator Theory (year: 2021, volume: 93, pages: Paper No. 55), Publisher: Birkhäuser Verlag
    Status:
    Published
    DOI:
    10.1007/s00020-021-02670-4 – link to the publication
  7. On the interplay between operators, bases, and matrices

    Authors:
    V. Müller, Y. Tomilov
    Academic press:
    Journal of Functional Analysis (year: 2021, volume: 281, pages: Paper No. 109158), Publisher: Elsevier B. V.
    Status:
    Published
    DOI:
    10.1016/j.jfa.2021.109158 – link to the publication
  8. Semi-uniform stability of operator semigroups and energy decay of damped waves

    Authors:
    R. Chill, D. Seifert, Y. Tomilov
    Academic press:
    Philosophical Transactions of the Royal Society A. Mathematical, Physical and Engineering Sciences (year: 2020, volume: 378, pages: 46046), Publisher: Roy. Soc. London
    Status:
    Published
    DOI:
    10.1098/rsta.2019.0614 – link to the publication
  9. Joint numerical ranges: recent advances and applications minicourse by V. Müller and Yu. Tomilov

    Authors:
    V. Müller, Yu. Tomilov
    Academic press:
    Concrete Operators (year: 2020, volume: 7, pages: 133–154), Publisher: De Gruyter Open
    Status:
    Published
    DOI:
    10.1515/conop-2020-0102 – link to the publication
  10. Interpolation of nonlinear positive or order preserving operators on Banach lattices

    Authors:
    R. Chill, A. Fiorenza, S. Król
    Academic press:
    Positivity (year: 2020, volume: 24, pages: 507–532), Publisher: Birkhäuser Verlag
    Status:
    Published
    DOI:
    10.1007/s11117-019-00688-y – link to the publication
  11. Local smoothing and Hardy spaces for Fourier integral operators

    Authors:
    J. Rozendaal
    Academic press:
    Journal of Functional Analysis (year: 2022, volume: 283, pages: 109721), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109721 – link to the publication
  12. A Besov algebra calculus for generators of operator semigroups and related norm-estimates

    Authors:
    Ch. Batty, A. Gomilko, Y. Tomilov
    Academic press:
    Mathematische Annalen (year: 2021, volume: 379, pages: 23–93), Publisher: Springer Berlin Heidelberg
    Status:
    Published
    DOI:
    10.1007/s00208-019-01924-2 – link to the publication
  13. Recurrence for smooth curves in the moduli space and application to the billiard flow on nibbled ellipses

    Authors:
    K. Frączek
    Academic press:
    Analysis & PDE (year: 2021, volume: 14, pages: 793–821), Publisher: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/apde.2021.14.793 – link to the publication
  14. In search of convexity: diagonals and numerical ranges

    Authors:
    V. Muller, Yu. Tomilov
    Academic press:
    Bulletin of the London Mathematical Society (year: 2021, volume: 53, pages: 1016–1029), Publisher: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms.12480 – link to the publication
  15. Spectral disjointness of rescalings of some surface flows

    Authors:
    P. Berk, A. Kanigowski
    Academic press:
    Journal of the London Mathematical Society (year: 2020, volume: 103, pages: 901–942), Publisher: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/jlms.12396 – link to the publication
  16. Rough Pseudodifferential Operators on Hardy Spaces for Fourier Integral Operators II

    Authors:
    J. Rozendaal
    Academic press:
    Journal of Fourier Analysis and Applications (year: 2022, volume: 28, pages: Article number: 65), Publisher: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s00041-022-09959-x – link to the publication
  17. Note on the Kato property of sectorial forms

    Authors:
    R. Chill, S. Król
    Academic press:
    Journal of Operator Theory (year: 2022, volume: 88, pages: 189–202), Publisher: Theta Foundation
    Status:
    Published
    DOI:
    10.7900/jot.2021jan21.2309 – link to the publication
  18. Diagonals of operators and Blaschke's enigma

    Authors:
    V. Müller, Y. Tomilov
    Academic press:
    Transactions of the American Mathematical Society (year: 2019, volume: 372, pages: 3565-3595), Publisher: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/7804 – link to the publication
  19. On the theory of generalised Stieltjes transforms

    Authors:
    A. Gomilko, Y. Tomilov
    Status:
    Accepted for publication
  20. Backward Rauzy-Veech algorithm and horizontal saddle connections

    Authors:
    P. Berk
    Status:
    Accepted for publication

Book publications / chapters in book publications (1)

  1. Ergodic and spectral theory of area-preserving flows on surfaces

    Authors:
    K. Frączek, C. Ulcigrai
    Book:
    Encyclopedia of Complexity and Systems Science (year: 2023, volume: brak, pages: 333–367), Publisher: Springer Science+Business Media LLC
    Status:
    Published

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Graphic design and implementation: Jakub Piotrowski