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Weak regularity of the inverse under minimal assumptions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10422194" target="_blank" >RIV/00216208:11320/20:10422194 - isvavai.cz</a>

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=WSIMtBZN6n" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=WSIMtBZN6n</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00205-020-01540-4" target="_blank" >10.1007/s00205-020-01540-4</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Weak regularity of the inverse under minimal assumptions

  • Original language description

    Let ΩSUBSET OFR3 be a domain and let fELEMENT OFBVloc(Ω,R3) be a homeomorphism such that its distributional adjugate is a finite Radon measure. We show that its inverse has bounded variation f-1ELEMENT OFBVloc. The condition that the distributional adjugate is finite measure is not only sufficient but also necessary for the weak regularity of the inverse.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2020

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Archive for Rational Mechanics and Analysis

  • ISSN

    0003-9527

  • e-ISSN

  • Volume of the periodical

    238

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    29

  • Pages from-to

    185-213

  • UT code for WoS article

    000539837000001

  • EID of the result in the Scopus database

    2-s2.0-85086371948