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Boundary value problems for the Stokes system in arbitrary Lipschitz domains Marius Mitrea & Matthew Wright

Von:

Mitrea, Marius [VerfasserIn]

Mitwirkende(r):

Wright, Matthew, 1986- [VerfasserIn]

Materialtyp: Text

TextSprache: Englisch Reihen: ; 344 | ; 4 | Astérisque ; 344Gesamtaufnahme: Verlag: Paris Soc. Math. de France 2012Beschreibung: VIII, 241 SInhaltstyp:

Text

Medientyp:

ohne Hilfsmittel zu benutzen

Datenträgertyp:

Band

ISBN:

9782856293430

Weitere Titel:

Parallelsacht. Problèmes au bord pour le système de Stokes dans les domaines de Lipschitz quelconques

Schlagwörter:

Andere physische Formen: Erscheint auch als: Boundary value problems for the Stokes system in arbitrary Lipschitz domainsLOC-Klassifikation:

QA379

Andere Klassifikation:

17,1
SI 832
*35-02
35Q35
35J25
45B05
31B10
65N99
76D07
35B65
31.45
31.44

Online-Ressourcen:

Inhalte:

Zusammenfassung: The goal of this work is to treat the main boundary value problems for the Stokes system, i.e., (i) the Dirichlet problem with Lp-data and nontangential maximal function estimates, (ii) the Neumann problem with Lp-data and nontangential maximal function estimates, (iii) the Regularity problem with Lp1-data and nontangential maximal function estimates, (iv) the transmission problem with Lp-data and nontangential maximal function estimates, (v) the Poisson problem with Dirichlet condition in Besov-Triebel-Lizorkin spaces, (vi) the Poisson problem with Neumann condition in Besov-Triebel-Lizorkin spaces, in Lipschitz domains of arbitrary topology in Rn, for each n [greater than or equal to] 2. Our approach relies on boundary integral methods and yields constructive solutions to the aforementioned problemsAndere Ausgaben: Erscheint auch als (Online-Ausgabe): / Mitrea, Marius: Boundary value problems for the Stokes system in arbitrary Lipschitz domains

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Zsfassung in engl. und franz. Sprache

Zusammenfassung in engl. und franz. Sprache

1. Introduction2. Smoothness spaces and Lipschitz domains -- 3. Rellich identities for divergence form, second-order systems -- 4. The Stokes system and hydrostatic potentials -- 5. The Lp[superscript] transmission problem with p near 2 -- 6. Local L² estimates -- 7. The transmission problem in two and three dimensions -- 8. Higher dimensions -- 9. Boundary value problems in bounded Lipschitz domains -- 10. The Poisson problem for the Stokes system -- 11. Appendix.

The goal of this work is to treat the main boundary value problems for the Stokes system, i.e., (i) the Dirichlet problem with Lp-data and nontangential maximal function estimates, (ii) the Neumann problem with Lp-data and nontangential maximal function estimates, (iii) the Regularity problem with Lp1-data and nontangential maximal function estimates, (iv) the transmission problem with Lp-data and nontangential maximal function estimates, (v) the Poisson problem with Dirichlet condition in Besov-Triebel-Lizorkin spaces, (vi) the Poisson problem with Neumann condition in Besov-Triebel-Lizorkin spaces, in Lipschitz domains of arbitrary topology in Rn, for each n [greater than or equal to] 2. Our approach relies on boundary integral methods and yields constructive solutions to the aforementioned problems

Mitrea, Marius: Boundary value problems for the Stokes system in arbitrary Lipschitz domains