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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Modern trends in the theory of operator semigroups

2017/27/B/ST1/00078

Keywords:

Operator semigroups and bi-semigroups sectorial and bi-sectorial operators hiperbolicity and quasi-hiperbolicity damped wave equation functional calculi rates of decay permanence properties perturbations subordination lower bounds

Descriptors:

  • ST1_9: Operator algebras and functional analysis
  • ST1_11: Partial differential equations
  • ST1_10: Ordinary differential equations and dynamical systems

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):

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 (Y-m-d): 2018-06-26

Project end date (Y-m-d): 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. Ultrabook (3 szt.) (18 000 PLN)
  2. Drukarka.
  3. Tablet graficzny.
  4. Ultrabook.
  5. Skaner.

Information in the final report

  • Publication in academic press/journals (24)
  • Book publications / chapters in book publications (1)
  1. Interpolation of nonlinear positive or order preserving operators on Banach lattices
    Authors:
    R. Chill, A. Fiorenza, S. Król
    Academic press:
    Positivity (rok: 2020, tom: 24, strony: 507–532), Wydawca: Birkhäuser Verlag
    Status:
    Published
    DOI:
    10.1007/s11117-019-00688-y - link to the publication
  2. Matrix representations of arbitary bounded operators on Hilbert spaces
    Authors:
    V. Müller, Y. Tomilov
    Academic press:
    Journal für die reine und angewandte Mathematik (rok: 2023, tom: brak, strony: brak), Wydawca: De Gruyter
    Status:
    Submitted
    DOI:
    brak - link to the publication
  3. On the asymptotic growth of Birkhoff integrals for locally Hamiltonian flows and ergodicity of their extensions
    Authors:
    K. Frączek, C.Ulcigrai
    Academic press:
    Commentarii Mathematici Helvetici (rok: 2022, tom: brak, strony: brak), Wydawca: EMS Press
    Status:
    Submitted
    DOI:
    brak - link to the publication
  4. Asymptotic behavior of solutions of the Dirac system with an integrable potential
    Authors:
    Ł. Rzepnicki
    Academic press:
    Integral Equations and Operator Theory (rok: 2021, tom: 93, strony: Paper No. 55), Wydawca: Birkhäuser Verlag
    Status:
    Published
    DOI:
    10.1007/s00020-021-02670-4 - link to the publication
  5. 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 (rok: 2021, tom: 22, strony: 1383 - 1463), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S1474748021000414 - link to the publication
  6. Joint numerical ranges: recent advances and applications minicourse by V. Müller and Yu. Tomilov
    Authors:
    V. Müller, Yu. Tomilov
    Academic press:
    Concrete Operators (rok: 2020, tom: 7, strony: 133–154), Wydawca: De Gruyter Open
    Status:
    Published
    DOI:
    10.1515/conop-2020-0102 - link to the publication
  7. Local smoothing and Hardy spaces for Fourier integral operators
    Authors:
    J. Rozendaal
    Academic press:
    Journal of Functional Analysis (rok: 2022, tom: 283, strony: 109721), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109721 - link to the publication
  8. New phenomena in deviation of Birkhoff integrals for locally Hamiltonian flows
    Authors:
    K. Frączek, M. Kim
    Academic press:
    Journal für die reine und angewandte Mathematik (rok: 2022, tom: brak, strony: brak), Wydawca: De Gruyter
    Status:
    Submitted
    DOI:
    brak - link to the publication
  9. Non-uniform Stability of Damped Contraction Semigroups
    Authors:
    Ralph Chill, Lassi Paunonen, David Seifert, Reinhard Stahn and Yuri Tomilov
    Academic press:
    Analysis & PDE (rok: 2023, tom: 16, strony: 1089–1132), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/apde.2023.16.1089 - link to the publication
  10. On the interplay between operators, bases, and matrices
    Authors:
    V. Müller, Y. Tomilov
    Academic press:
    Journal of Functional Analysis (rok: 2021, tom: 281, strony: Paper No. 109158), Wydawca: Elsevier B. V.
    Status:
    Published
    DOI:
    10.1016/j.jfa.2021.109158 - link to the publication
  11. Recurrence for smooth curves in the moduli space and application to the billiard flow on nibbled ellipses
    Authors:
    K. Frączek
    Academic press:
    Analysis & PDE (rok: 2021, tom: 14, strony: 793–821), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/apde.2021.14.793 - link to the publication
  12. Rough pseudodifferential operators on Hardy spaces for Fourier integral operators
    Authors:
    J. Rozendaal
    Academic press:
    Journal d'Analyse Mathématique (rok: 2023, tom: 149, strony: 135-165), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s11854-022-0247-y - link to the publication
  13. A Besov algebra calculus for generators of operator semigroups and related norm-estimates
    Authors:
    Ch. Batty, A. Gomilko, Y. Tomilov
    Academic press:
    Mathematische Annalen (rok: 2021, tom: 379, strony: 23–93), Wydawca: Springer Berlin Heidelberg
    Status:
    Published
    DOI:
    10.1007/s00208-019-01924-2 - link to the publication
  14. Diagonals of operators and Blaschke's enigma
    Authors:
    V. Müller, Y. Tomilov
    Academic press:
    Transactions of the American Mathematical Society (rok: 2019, tom: 372, strony: 3565-3595), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/7804 - link to the publication
  15. Rough Pseudodifferential Operators on Hardy Spaces for Fourier Integral Operators II
    Authors:
    J. Rozendaal
    Academic press:
    Journal of Fourier Analysis and Applications (rok: 2022, tom: 28, strony: Article number: 65), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s00041-022-09959-x - link to the publication
  16. 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 (rok: 2020, tom: 378, strony: 45315), Wydawca: Roy. Soc. London
    Status:
    Published
    DOI:
    10.1098/rsta.2019.0614 - link to the publication
  17. The theory of Besov functional calculus: developments and applications to semigroups
    Authors:
    Ch. Batty, A. Gomilko, Y. Tomilov
    Academic press:
    Journal of Functional Analysis (rok: 2021, tom: 281, strony: Paper No. 109089), Wydawca: Elsevier B. V.
    Status:
    Published
    DOI:
    10.1016/j.jfa.2021.109089 - link to the publication
  18. On the theory of generalised Stieltjes transforms
    Authors:
    A. Gomilko, Y. Tomilov
    Academic press:
    Journal d'Analyse Mathématique (rok: 2022, tom: brak, strony: brak), Wydawca: Springer Nature
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  19. In search of convexity: diagonals and numerical ranges
    Authors:
    V. Muller, Yu. Tomilov
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2021, tom: 53, strony: 1016–1029), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms.12480 - link to the publication
  20. Non-uniform ergodic properties of Hamiltonian flows with impacts
    Authors:
    K. Frączek, V. Rom-Kedar
    Academic press:
    Ergodic Theory and Dynamical Systems (rok: 2023, tom: 43, strony: 190–252), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2021.106 - link to the publication
  21. Note on the Kato property of sectorial forms
    Authors:
    R. Chill, S. Król
    Academic press:
    Journal of Operator Theory (rok: 2022, tom: 88, strony: 189–202), Wydawca: Theta Foundation
    Status:
    Published
    DOI:
    10.7900/jot.2021jan21.2309 - link to the publication
  22. Spectral disjointness of rescalings of some surface flows
    Authors:
    P. Berk, A. Kanigowski
    Academic press:
    Journal of the London Mathematical Society (rok: 2020, tom: 103, strony: 901–942), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/jlms.12396 - link to the publication
  23. Backward Rauzy-Veech algorithm and horizontal saddle connections
    Authors:
    P. Berk
    Academic press:
    Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (rok: 2022, tom: brak, strony: brak), Wydawca: Scuola Normale Superiore di Pisa
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  24. On growth and instability for semilinear equations: an abstract approach
    Authors:
    V. Muller, R. Schnaubelt, Y. Tomilov
    Academic press:
    Communications in Pure and Applied Mathematics (rok: 2022, tom: brak, strony: brak), Wydawca: John Wiley & Sons, Inc
    Status:
    Submitted
    DOI:
    brak - link to the publication
  1. Ergodic and spectral theory of area-preserving flows on surfaces
    Authors:
    K. Frączek, C. Ulcigrai
    Book:
    Encyclopedia of Complexity and Systems Science (rok: 2023, tom: brak, strony: 333–367), Wydawca: Springer Science+Business Media LLC
    Status:
    Published

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