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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Quantitative aspects of evolution equations: operator approach

2014/13/B/ST1/03153

Keywords:

Operators resolvents spectrum semigroups rate of decay wave equations geodesic flows

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 :

Uniwersytet Mikołaja Kopernika, Wydział Matematyki i Informatyki

woj. kujawsko-pomorskie

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 7 - announced on 2014-03-17

Amount awarded: 557 400 PLN

Project start date (Y-m-d): 2015-01-28

Project end date (Y-m-d): 2018-07-27

Project duration:: 42 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Komputer stacjonarny (6 000 PLN)
  2. Drukarka.
  3. Ultrabook (6 szt.) (21 000 PLN)

Information in the final report

  • Publication in academic press/journals (19)
  1. Fine scales of decay of operator semigroups
    Authors:
    Ch. Batty, R. Chill, Y. Tomilov
    Academic press:
    Journal of the European Mathematical Society (rok: 2016, tom: 18, strony: 853–929), Wydawca: EMS Publishing House
    Status:
    Published
    DOI:
    10.4171/JEMS/605 - link to the publication
  2. On asymptotic behaviour of solutions of the Dirac system and applications to the Sturm-Liouville problem with a singular potential
    Authors:
    A. Gomilko, Ł. Rzepnicki
    Academic press:
    Journal of Spectral Theory (rok: 2018, tom: brak, strony: brak), Wydawca: EMS Publ. House
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  3. Inverses of semigroup generators: a survey and remarks
    Authors:
    A. Gomilko
    Academic press:
    Banach Center Publications (rok: 2017, tom: 112, strony: 107-142), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/bc112-0-7 - link to the publication
  4. Joint numerical ranges and compressions of powers of operators
    Authors:
    Vl. Müller, Yu. Tomilov
    Academic press:
    Journal of the London Mathematical Society (rok: 2019, tom: 99, strony: 127–152), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/jlms.12165 - link to the publication
  5. On Discrete Subordination of Power Bounded and Ritt Operators
    Authors:
    A. Gomilko, Y. Tomilov
    Academic press:
    Indiana University Mathematics Journal (rok: 2018, tom: 67, strony: 781-829), Wydawca: Indiana Univ. Dept. Math.
    Status:
    Published
    DOI:
    brak - link to the publication
  6. On typicality of translation flows which are disjoint with their inverse
    Authors:
    P. Berk, K. Frączek, T. de la Rue
    Academic press:
    Journal of the Institute of Mathematics of Jussieu (rok: 2018, tom: Online, strony: 22282), Wydawca: Cambridge Univ. Press
    Status:
    Published
    DOI:
    10.1017/S1474748018000531 - link to the publication
  7. Polynomial stability for a system of coupled strings
    Authors:
    Ł. Rzepnicki, R. Schnaubelt
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2018, tom: 50, strony: 1117–1136), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms.12212 - link to the publication
  8. Resolvent representations for functions of sectorial operators
    Authors:
    Ch. Batty, A. Gomilko, Yu. Tomilovi
    Academic press:
    Advances in Mathematics (rok: 2017, tom: 308, strony: 896–940), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2016.12.009 - link to the publication
  9. Weighted inequalities for singular integral operators on the half-line
    Authors:
    R. Chill, S. Król
    Academic press:
    Studia Mathematica (rok: 2018, tom: 243, strony: 171-206), Wydawca: IM PAN
    Status:
    Published
    DOI:
    10.4064/sm170221-1-9 - link to the publication
  10. Circles in the spectrum and the geometry of orbits: a numerical ranges approach
    Authors:
    V. Müller, Yu. Tomilov
    Academic press:
    Journal of Functional Analysis (rok: 2018, tom: 274, strony: 433-460), Wydawca: Elsevier Inc
    Status:
    Published
    DOI:
    10.015 - link to the publication
  11. Lp-tauberian theorems and Lp-rates for energy decay
    Authors:
    Ch. Batty, A. Borichev, Y. Tomilov
    Academic press:
    Journal of Functional Analysis (rok: 2016, tom: 270, strony: 1153–1201), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jfa.2015.12.003 - link to the publication
  12. Real interpolation with weighted rearrangement invariant Banach function spaces
    Authors:
    R. Chill, S. Król
    Academic press:
    Journal of Evolution Equations (rok: 2017, tom: 17, strony: 173–195), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00028-016-0366-y - link to the publication
  13. Recurrence and non‐ergodicity in generalized wind‐tree models
    Authors:
    K. Frączek, P. Hubert
    Academic press:
    Mathematische Nachrichten (rok: 2018, tom: 291, strony: 1686-1711), Wydawca: WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
    Status:
    Published
    DOI:
    10.1002/mana.201600480 - link to the publication
  14. The basis property of eigenfunctions in the problem of a nonhomogeneous damped string
    Authors:
    Ł. Rzepnicki
    Academic press:
    Opuscula Mathematica (rok: 2017, tom: 37, strony: 141-165), Wydawca: Wydawnictwa AGH
    Status:
    Published
    DOI:
    10.7494/OpMath.2017.37.1.141 - link to the publication
  15. On Ergodicity of Foliations on Z^d -Covers of Half-Translation Surfaces and Some Applications to Periodic Systems of Eaton Lenses
    Authors:
    K. Frączek, M. Schmoll
    Academic press:
    Communications in Mathematical Physics (rok: 2018, tom: 362, strony: 609–657), Wydawca: Springer Berlin Heidelberg
    Status:
    Published
    DOI:
    10.1007/s00220-018-3186-9 - link to the publication
  16. On subordination of holomorphic semigroups
    Authors:
    A. Gomilko, Y. Tomilov
    Academic press:
    Advances in Mathematics (rok: 2015, tom: 283, strony: 155–194), Wydawca: Elsevier Inc
    Status:
    Published
    DOI:
    10.1016/j.aim.2015.05.016 - link to the publication
  17. On the Witten index in terms of spectral shift functions
    Authors:
    A. Carey, F. Gesztesy, D. Potapov, F. Sukochev, Yu. Tomilovi
    Academic press:
    Journal d'Analyse Mathématique (rok: 2017, tom: 132, strony: 22282), Wydawca: Hebrew University Magnes Press
    Status:
    Published
    DOI:
    10.1007/s11854-017-0003-x - link to the publication
  18. A general approach to approximation theory of operator semigroups
    Authors:
    A. Gomilko, S. Kosowicz, Yu. Tomilov
    Academic press:
    Journal de Mathématiques Pures et Appliquées (rok: 2019, tom: 127, strony: 216-267), Wydawca: Elsevier Masson SAS
    Status:
    Published
    DOI:
    10.1016/j.matpur.2018.08.008 - link to the publication
  19. Genericity on curves and applications: pseudo-integrable billiards, Eaton lenses and gap distributions
    Authors:
    K. Frączek, R. Shi, C. Ulcigrai
    Academic press:
    Journal of Modern Dynamics (rok: 2018, tom: 12, strony: 55-122), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/jmd.2018004 - link to the publication

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