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
Principal investigator (from the host institution)
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]
- Drukarka.
- Skaner.
- Tablet graficzny.
- Ultrabook.
- Ultrabook (3 pcs). Cost: 18 000 PLN
Information in the final report
Publication in academic press/journals (20)
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
On the theory of generalised Stieltjes transforms
- Authors:
- A. Gomilko, Y. Tomilov
- Status:
- Accepted for publication
-
Backward Rauzy-Veech algorithm and horizontal saddle connections
- Authors:
- P. Berk
- Status:
- Accepted for publication
Book publications / chapters in book publications (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