The resolvent problem for the Stokes system in exterior domains: uniqueness and non-regularity in Hölder spaces

DOI10.1017/S0308210500020916zbMath0780.35074MaRDI QIDQ4037706

Paul Deuring

Publication date: 16 May 1993

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

uniquenessDirichlet boundary conditionsresolvent estimatesStokes equationsexterior domainsnon-regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30)

Related Items (4)

The Dirichlet problems for the Stokes resolvent equations in bounded and exterior domains in ℝⁿ ⋮ Strong Solutions of the Navier–Stokes System in Lipschitz Bounded Domains ⋮ Unnamed Item ⋮ A mixed boundary value problem for the unsteady Stokes system in a bounded domain in \(\mathbb{R}^n\)

Cites Work

• Halbgruppen und semilineare Anfangs-Randwertprobleme
• Einige Bemerkungen zu meiner Arbeit 'Gebrochene Potenzen eines elliptischen Operators und parabolische Differentialgleichungen in Räumen hölderstetiger Funktionen'
• The resolvent problem for the stokes system in exterior domains: An elementary approach
• The Resolvent Problem for the Stokes Equations on Halfspace in $L_p $
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

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