The maximum modulus theorem for the Stokes system in a ball

DOI10.1007/PL00004345zbMath0890.35104OpenAlexW1989141774MaRDI QIDQ1380098

Werner Kratz

Publication date: 29 June 1998

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004345

zbMATH Keywords

analytic continuationStokes equationsLiouville's theoremmaximum modulus theoremmean value formulaStokes-Poisson integral formula

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Integral representations of solutions to PDEs (35C15) Navier-Stokes equations (35Q30) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

Related Items (5)

Quasi-maximum modulus principle for the Stokes equations ⋮ A maximum modulus theorem for the Oseen problem ⋮ Boundary value problems for the Stokes equations with jumps in open sets ⋮ Bounded solutions of the Dirichlet problem for the Stokes resolvent system ⋮ An extremal problem related to the maximum modulus theorem for Stokes functions

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