A Density Result for Homogeneous Sobolev Spaces on Planar Domains

Abstract We show that in a bounded simply connected planar domain Ω the smooth Sobolev functions Wk,∞(Ω) ∩ C∞(Ω) are dense in the homogeneous Sobolev spaces Lk,p(Ω).

Gespeichert in:

Autor*in:	Nandi, Debanjan [verfasserIn] Rajala, Tapio Schultz, Timo

Format:	Artikel
Sprache:	Englisch

Erschienen:	2018

Schlagwörter:	Sobolev space Homogeneous Sobolev space Density

Anmerkung:	© Springer Nature B.V. 2018

Übergeordnetes Werk:	Enthalten in: Potential analysis - Springer Netherlands, 1992, 51(2018), 4 vom: 28. Juli, Seite 483-498
Übergeordnetes Werk:	volume:51 ; year:2018 ; number:4 ; day:28 ; month:07 ; pages:483-498

Links:	Volltext

DOI / URN:	10.1007/s11118-018-9720-8

Katalog-ID:	OLC2046685504

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title_auth	A Density Result for Homogeneous Sobolev Spaces on Planar Domains
abstract	Abstract We show that in a bounded simply connected planar domain Ω the smooth Sobolev functions Wk,∞(Ω) ∩ C∞(Ω) are dense in the homogeneous Sobolev spaces Lk,p(Ω). © Springer Nature B.V. 2018
abstractGer	Abstract We show that in a bounded simply connected planar domain Ω the smooth Sobolev functions Wk,∞(Ω) ∩ C∞(Ω) are dense in the homogeneous Sobolev spaces Lk,p(Ω). © Springer Nature B.V. 2018
abstract_unstemmed	Abstract We show that in a bounded simply connected planar domain Ω the smooth Sobolev functions Wk,∞(Ω) ∩ C∞(Ω) are dense in the homogeneous Sobolev spaces Lk,p(Ω). © Springer Nature B.V. 2018
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