Removability: First order Sobolev space, PDE solutions, holomorphic functions. - Sobolev space constructed in a new way

2004/01/23 by Andreas Wannebo, Wannebo, Andreas
Engineering · Mathematics · #26B #30D #32F #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Numerical methods in engineering #math.AP #math.FA #msc:26B #msc:30D #msc:32F

paper · pdf · doi:10.48550/arxiv.math/0401315

A 1993 idea of the author. Problem left to student. Wannebo and P.Jones later worked with this idea in parallell.Result Jones' and Smirnov's paper 1999 and the above results 1996. (Warning: Non locally bounded variation not treated.)

openalex publication_date 2004/01/23 · arxiv created 2004/01/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Holomorphic removability is of importance in dynanical systems theory. P.W.Jones found that Sobolev removability can serve as a substitute. He proved a strong strong result for Hölder domains. The present work gives some results on the this and related matters.

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