Stochastic analysis and evolution equations

2013/09/B/ST1/03658

Keywords

Descriptors

  • ST1_13: Rachunek prawdopodobieństwa i statystyka matematyczna

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. Szymon Peszat

Number of co-investigators in the project: 4

Call

OPUS 5 – announced on 2013-03-15

Amount awarded
136 200 PLN
Project start date
2014-02-20
Project end date
2017-02-19
Project duration
36 months (the same as in the proposal)
Project status
Project settled

Equipment purchased [PL]

  1. Laptop z systemem Mac OS oraz niezbędny softwer. Cost: 7 500 PLN

Information in the final report

Publication in academic press/journals (4)

  1. On some smoothening effects of the trans- ition semigroup of a Levy process

    Authors:
    Z. Dong, S. Peszat, L. Xu
    Academic press:
    J. Math. Anal. Appl. (year: 2016, volume: 434, pages: 1566-1580), Publisher: ELSEVIER
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2015.10.003 – link to the publication
  2. Gauss-Markov processes on Hilbert spaces

    Authors:
    B. Goldys, S. Peszat, J. Zabczyk
    Academic press:
    Trans. Amer. Math. Soc. (year: 2016, volume: 368, pages: 89-108), Publisher: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/6329 – link to the publication
  3. Second order PDEs with Dirichlet white noise boundary conditions

    Authors:
    Z. Brzezniak, B. Goldys, S. Peszat, F. Russo,
    Academic press:
    J. Evol. Equ. (year: 2015, volume: 15, pages: 46048), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00028-014-0246-2 – link to the publication
  4. Inverse problem for stochastic transport equations

    Authors:
    D. Crisan, Y. Otobe, S. Peszat
    Academic press:
    Inverse Problems (year: 2015, volume: 31, pages: 20 pp), Publisher: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/0266-5611/31/1/015005 – link to the publication

Book publications / chapters in book publications (1)

  1. Stochastic partial differential equations with Levy noise (a few aspects)

    Authors:
    S. Peszat
    Book:
    Stochastic Analysis: A Series of Lectures ( Robert C. Da- lang, Marco Dozzi and Francesco Russo, eds.) Progress in Probability (year: 2015, volume: 68, pages: 333-357), Publisher: Birkhauser
    Status:
    Published

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