An extremal problem related to the maximum modulus theorem for Stokes functions

DOI10.4171/ZAA/841zbMath0912.35121MaRDI QIDQ1267970

Werner Kratz

Publication date: 31 May 1999

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

Stokes systemmaximum modulus theoremStokes-Poisson integral formula

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Stokes and related (Oseen, etc.) flows (76D07) Maximum principles in context of PDEs (35B50) Navier-Stokes equations (35Q30) Miscellaneous inequalities involving matrices (15A45)

Related Items (2)

A maximum modulus theorem for the Oseen problem ⋮ Bounded solutions of the Dirichlet problem for the Stokes resolvent system

Cites Work

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• A maximum principle for biharmonic functions in Lipschitz and \(C^ 1\) domains
• The maximum modulus theorem for the Stokes system in a ball
• An extremal problem for Stokes functions in the plane
• On the maximum modulus theorem for stokes functions

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