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)


Holomorphic Function Evolution Operator Stokes Operator Integral Representation Formula Banaeh Space 
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  1. [1]
    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
  2. [2]
    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
  3. [3]
    C. Kahane-On the spatial analyticity of solutions of the Navier-Stokes equations. Arch.Rational Mech.Anal. 33 (1969), p. 386–405.MathSciNetCrossRefzbMATHGoogle Scholar
  4. [4]
    H. Fujita and T. Kato-On the Navier-Stokes initial value problem, I. Arch.Rational Mech.Anal., 16 (1964), p.269–315.MathSciNetCrossRefzbMATHGoogle Scholar
  5. [5]
    K. Yosida-Functional Analysis, Grundlehren Band 123, Springer, (1965).Google Scholar
  6. [6]
    K. Masuda-On the regularity of nonlinear elliptic and parabolic systems of partial differential equations. (to appear).Google Scholar
  7. [7]
    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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