The Weak Inverse Mapping Theorem

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10314057" target="_blank" >RIV/00216208:11320/15:10314057 - isvavai.cz</a>
Alternative codes found
RIV/62690094:18470/15:50003985
Result on the web
<a href="http://dx.doi.org/10.4171/ZAA/1542" target="_blank" >http://dx.doi.org/10.4171/ZAA/1542</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4171/ZAA/1542" target="_blank" >10.4171/ZAA/1542</a>

Result language
angličtina
Original language name
The Weak Inverse Mapping Theorem
Original language description
We prove that if a bilipschitz mapping f is in W-loc(m,p) (R-n; R-n) then the inverse f(-1) is also a W-loc(m,p) (R-n; R-n) is class mapping. Further we prove that the class of bilipschitz mappings belonging to W-loc(m,p) (R-n;R-n) is closed with respectto composition and multiplication without any restrictions on m,p }= 1. These results can be easily extended to smooth n-dimensional Riemannian manifolds and further we prove a form of the implicit function theorem for Sobolev mappings.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/LL1203" target="_blank" >LL1203: Properties of functions and mappings in Sobolev spaces</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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