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

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

2004-01-23

arxiv.org/abs/math/0401315v2

Mathematics

Analysis of PDEs

A 1993 idea of the author. Problem left to student. Wannebo and P.Jones later worked with this idea in parallell.Result Jones'

Scientific paper

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 H\"older domains. The present work gives some
results on the this and related matters.

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