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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Elliptic and Parabolic Partial Differential Equations with Measure Data

2012/07/D/ST1/02107

Keywords:

elliptic and parabolic systems obstacle problem smooth measures Dirichlet forms Leray-Lions type nonlinear operators asymtotic behaviour of solutions

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_13: Probability and statistics

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):

dr Tomasz Klimsiak 

Number of co-investigators in the project: 1

Call: SONATA 4 - announced on 2012-09-15

Amount awarded: 99 040 PLN

Project start date (Y-m-d): 2013-07-12

Project end date (Y-m-d): 2016-07-11

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. laptop (7 000 PLN)

Information in the final report

  • Publication in academic press/journals (9)
  1. Obstacle problem for semilinear parabolic equations with measure data
    Authors:
    Tomasz Klimsiak, Andrzej Rozkosz
    Academic press:
    J.Evol. Equ. (rok: 2015, tom: 15, strony: 457-491), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00028-014-0269-8 - link to the publication
  2. Reduced measures for semilinear elliptic equations involving Dirichlet operators
    Authors:
    Tomasz Klimsiak
    Academic press:
    Calculus of Variations and Partial Differential Equations (rok: 2016, tom: 55:78, strony: 45318), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-016-1023-6 - link to the publication
  3. Right Markov processes and systems of semilinear equations with measure data
    Authors:
    Tomasz Klimsiak
    Academic press:
    Potential Analysis (rok: 2016, tom: 44, strony: 373-399), Wydawca: springer
    Status:
    Published
    DOI:
    10.1007/s11118-015-9517-y - link to the publication
  4. Semi-Dirichlet forms, Feynman-Kac functionals and the Cauchy problem for semilinear parabolic equations.
    Authors:
    Tomasz Klimsiak
    Academic press:
    J. Funct. Anal. (rok: 2015, tom: 268, strony: 1205-1240), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2014.11.013 - link to the publication
  5. Semilinear elliptic equations with measure data and quasi-regular Dirichlet forms
    Authors:
    Tomasz Klimsiak, Andrzej Rozkosz
    Academic press:
    Colloq. Math. (rok: 2016, tom: 145, strony: 35-67), Wydawca: IMPAN
    Status:
    Published
    DOI:
    brak - link to the publication
  6. Systems of quasi-variational inequalities related to the switching problem
    Authors:
    Tomasz Klimsiak
    Academic press:
    Stochastic Processes and their Applications (rok: 2018, tom: -, strony: -), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spa.2018.04.008 - link to the publication
  7. Quasi-regular Dirichlet forms and the obstacle problem for elliptic equations with measure data
    Authors:
    Tomasz Klimsiak
    Academic press:
    Bulletin des Sciences Mathématiques (rok: 2015, tom: -, strony: -), Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  8. Existence and large-time asymptotics for solutions of semilinear parabolic systems with measure data
    Authors:
    Tomasz Klimsiak
    Academic press:
    J. Evol. Equ. 14 (2014), 913–947 (rok: 2014, tom: 14, strony: 913-947), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00028-014-0244-4 - link to the publication
  9. On the structure of bounded smooth measures associated with quasi-regular Dirichlet form
    Authors:
    Tomasz Klimsiak, Andrzej Rozkosz
    Academic press:
    Bulletin Polish Acad. Sci. Math. (rok: 2017, tom: 65, strony: 45-56), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/ba8108-7-2017 - link to the publication

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