Sobolev extension property for tree-shaped domains with self-contacting fractal boundary

DOI10.2422/2036-2145.201307_008zbMath1356.46028OpenAlexW2507707288MaRDI QIDQ2807098

Thibaut Deheuvels

Publication date: 19 May 2016

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2422/2036-2145.201307_008

zbMATH Keywords

ramified domains\(W^{1,p}\)-extension operatorsHaar wavelet decompositionself-intersection of the boundaryself-similar fractal boundary

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractals (28A80)

Related Items (3)

Dimension estimate for the two-sided points of planar Sobolev extension domains ⋮ \(JLip\) versus Sobolev spaces on a class of self-similar fractal foliages ⋮ A Transmission Problem Across a Fractal Self-Similar Interface

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