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On the regularity of solutions of the nonstationary Navier-Stokes equations

  • Kyûya Masuda
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 771)

Keywords

Holomorphic Function Evolution Operator Stokes Operator Integral Representation Formula Banaeh Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    J. Serrin-On the interior regularity of weak solutions of the Navier-Stokes equations. Arch.Rational Mech.Anal. 9 (1962), p.187–195.MathSciNetCrossRefzbMATHGoogle Scholar
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    K. Masuda-On the analyticity and the unique continuation theorem for solutions of the Na vier-Stokes equations. Proc Japan Acad., 43(1967), p.827–832.MathSciNetCrossRefzbMATHGoogle Scholar
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    C. Kahane-On the spatial analyticity of solutions of the Navier-Stokes equations. Arch.Rational Mech.Anal. 33 (1969), p. 386–405.MathSciNetCrossRefzbMATHGoogle Scholar
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    H. Fujita and T. Kato-On the Navier-Stokes initial value problem, I. Arch.Rational Mech.Anal., 16 (1964), p.269–315.MathSciNetCrossRefzbMATHGoogle Scholar
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    K. Yosida-Functional Analysis, Grundlehren Band 123, Springer, (1965).Google Scholar
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    K. Masuda-On the regularity of nonlinear elliptic and parabolic systems of partial differential equations. (to appear).Google Scholar
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    H. Tanabe-On the equation of evolution in a Banach space. Osaka Math.J. 12 (1960), p.363–376.MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Kyûya Masuda
    • 1
  1. 1.Department of Pure and Applied SciencesUniversity of TokyoTokyoJapan

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