Fixed point of a non-contracting mapping

DOI10.4171/RMI/459zbMath1111.47053MaRDI QIDQ854556

Pierre Gilles Lemarié Rieusset

Publication date: 5 December 2006

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1148492186

zbMATH Keywords

fixed point theoremgeneralized contraction\(k\)-forms\(k\)-linear operators

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Navier-Stokes equations for incompressible viscous fluids (76D05) Fixed-point theorems (47H10) Navier-Stokes equations (35Q30) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory to differential and integral equations (47N20) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Multilinear and polynomial operators (47H60) Numerical analysis in abstract spaces (65J99)

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The Navier-Stokes equations in the critical Morrey-Campanato space ⋮ The Picard iterates for the Navier-Stokes equations in \(L^3(\mathbb R^3)\) ⋮ On Masuda uniqueness theorem for Leray-Hopf weak solutions in mixed-norm spaces

Cites Work

• Un théorème de persistance de la régularité en norme d'espaces de Besov pour les solutions de Koch et Tataru des équations de Navier–Stokes dans
• Well-posedness for the Navier-Stokes equations

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