Advertisement

The initial value problem for the Boussinesq equations with data in Lp

  • J. R. Cannon
  • Emmanuele DiBenedetto
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 771)

Keywords

Integral Equation Weak Solution Global Existence Singular Integral Singular Integral Equation 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Calderon, A.P. and A. Zygumd. "On the existence of certain singular integrals," Acta Math., 88(1952), 85–139MathSciNetCrossRefGoogle Scholar
  2. [2]
    Hedberg, L.I., "On certain convolution inequalities," Proceedings of the American Mathematical Society, Vol. 36, #2, Dec. 1972.Google Scholar
  3. [3]
    Fabes, E.B., Jones, F.B. and N.M. Riviere, "The initial value problem for the Navier-Stokes equations with data in Lp," Archives for Rat. Mechanics and Analysis, 45(1972), 222–240MathSciNetCrossRefzbMATHGoogle Scholar
  4. [4]
    Lewis, J.E., "Mixed estimates for singular integrals," Proceedings of Symposia in Pure Mathematics A.M.S., Vol. X.Google Scholar
  5. [5]
    Riviere, N.M., "Singular integrals and multiplier operators," Arkiv for Matematik, #2, Dec. 1971, 243–308.MathSciNetCrossRefzbMATHGoogle Scholar
  6. [6]
    Rudin, W., Functional Analysis, McGraw-Hill (1973).Google Scholar
  7. [7]
    Stein, E.M., Singular integrals and differentiability properties of functions, Princeton Univ. Press, 1970.Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • J. R. Cannon
    • 1
  • Emmanuele DiBenedetto
    • 1
  1. 1.The University of TexasAustin

Personalised recommendations