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On the Poincaré-Bogovski lemma on differential forms

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Publication:1185162
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DOI10.3792/pjaa.68.1zbMath0749.58004OpenAlexW2071144805WikidataQ124964373 ScholiaQ124964373MaRDI QIDQ1185162

Shuji Takahashi

Publication date: 28 June 1992

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.68.1


zbMATH Keywords

differential formPoincaré Lemma


Mathematics Subject Classification ID

Differential forms in global analysis (58A10)


Related Items (3)

The Pullback Equation ⋮ On the equation \(A \nabla u + \left( \nabla u\right)^t A = G\) ⋮ Some remarks on the Lie derivative and the pullback equation for contact forms



Cites Work

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  • Algebraic \(L^ 2\) decay for Navier-Stokes flows in exterior domains
  • On the semigroup of the Stokes operator for exterior domains in L q- spaces
  • \(L_ q-L_ r\) estimates for solutions of the nonstationary Stokes equation in an exterior domain and the Navier-Stokes initial value problems in \(L_ q\) spaces
  • On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
  • On A Regularity Criterion Up to The Boundary for Weak Solutions of The Navier–Stokes Equations


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