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Sobolevovská zobrazení a Luzinova N podmínka / Sobolev mappings and Luzin condition N

A mapping f from R^{n} to R^{n} is said to satisfy the Luzin condition N if f maps sets of measure zero to sets of measure zero. It is known to be valid for mappings in the Sobolev space W^{1,p} for p > n and for p <= n there are counterexamples. The aim of this thesis is to summarize known results and study the validity of Luzin condition N for mappings in the Sobolev space W^{2,p}.

Identiferoai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:328127
Date January 2013
CreatorsMatějka, Milan
ContributorsHencl, Stanislav, Malý, Jan
Source SetsCzech ETDs
LanguageCzech
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/masterThesis
Rightsinfo:eu-repo/semantics/restrictedAccess

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