Div-curl lemma with critical power weights in dimension three

DOI10.1002/mana.201400291zbMath1338.42029OpenAlexW2130987655WikidataQ124827911 ScholiaQ124827911MaRDI QIDQ2792260

Yohei Tsutsui

Publication date: 8 March 2016

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

Full work available at URL: https://doi.org/10.1002/mana.201400291

zbMATH Keywords

Hardy spacesNeumann problemHerz spacesdiv-curl lemma

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30) Harmonic analysis and PDEs (42B37)

Related Items (1)

Mixed-norm Herz spaces and their applications in related Hardy spaces

Cites Work

• Hardy Sobolev spaces on strongly Lipschitz domains of \(\mathbb R^n\)
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Endpoint for the div-curl lemma in Hardy spaces
• On the radial maximal function of distributions
• A local version of real Hardy spaces
• Herz-type Sobolev and Bessel potential spaces and their applications
• On the equation \(\text{div }u=f\)
• Compensated compactness and Hardy spaces
• An application of weighted Hardy spaces to the Navier-Stokes equations
• On optimal decay rates for weak solutions to the Navier-Stokes equations in $R^n$
• Decay Results for Weak Solutions of the Navier-Stokes Equations on Rⁿ
• HARDY SPACES OF SOLENOIDAL VECTOR FIELDS, WITH APPLICATIONS TO THE NAVIER-STOKES EQUATIONS
• On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases
• Some Maximal Inequalities
• Remarks on Herz-type Hardy spaces

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