Bilinear estimates in dyadic BMO and the Navier-Stokes equations

DOI10.2969/jmsj/06420399zbMath1251.35073OpenAlexW1999246351MaRDI QIDQ431605

Tsuyoshi Yoneda, Eiichi Nakai

Publication date: 29 June 2012

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1335444398

zbMATH Keywords

Navier-Stokes equationsdyadic BMOblow-up phenomenabounded mean oscillation

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Navier-Stokes equations (35Q30) Blow-up in context of PDEs (35B44) Strong solutions to PDEs (35D35)

Related Items (2)

Commutators of Calderón-Zygmund and generalized fractional integral operators on generalized Morrey spaces ⋮ Biographical Sketch of Professor Eiichi Nakai

Cites Work

• Unnamed Item
• Sharp maximal inequalities and its application to some bilinear estimates
• Liouville theorems for the Navier-Stokes equations and applications
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• The Haar wavelet characterization of weighted Herz spaces and greediness of the Haar wavelet basis
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
• Hardy-Sobolev spaces and maximal functions
• On functions with conditions on the mean oscillation
• Bilinear estimates in \(BMO\) and the Navier-Stokes equations
• On the Navier-Stokes initial value problem. I
• Sharp maximal inequalities and commutators on Morrey spaces with non-doubling measures
• Maximal functions measuring smoothness
• Solvability of the functional equation f=(T-I)h for vector-valued functions

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