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
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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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
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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