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

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Approximation Methods for Navier-Stokes Problems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 771))

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References

  1. Calderon, A.P. and A. Zygumd. "On the existence of certain singular integrals," Acta Math., 88(1952), 85–139

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  2. Hedberg, L.I., "On certain convolution inequalities," Proceedings of the American Mathematical Society, Vol. 36, #2, Dec. 1972.

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  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), 222–240

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  4. Lewis, J.E., "Mixed estimates for singular integrals," Proceedings of Symposia in Pure Mathematics A.M.S., Vol. X.

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  5. Riviere, N.M., "Singular integrals and multiplier operators," Arkiv for Matematik, #2, Dec. 1971, 243–308.

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  6. Rudin, W., Functional Analysis, McGraw-Hill (1973).

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  7. Stein, E.M., Singular integrals and differentiability properties of functions, Princeton Univ. Press, 1970.

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Author information

Authors and Affiliations

  1. The University of Texas, 78712, Austin, Texas

    J. R. Cannon & Emmanuele DiBenedetto

Authors
  1. J. R. Cannon
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  2. Emmanuele DiBenedetto
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Reimund Rautmann

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© 1980 Springer-Verlag

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Cannon, J.R., DiBenedetto, E. (1980). The initial value problem for the Boussinesq equations with data in Lp . In: Rautmann, R. (eds) Approximation Methods for Navier-Stokes Problems. Lecture Notes in Mathematics, vol 771. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086903

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  • DOI: https://doi.org/10.1007/BFb0086903

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09734-1

  • Online ISBN: 978-3-540-38550-9

  • eBook Packages: Springer Book Archive

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