Skip to main content
SpringerLink
Log in

Elliptic systems inH s,δ spaces on manifolds which are euclidean at infinity

  • Published:
Acta Mathematica

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bancel, D. &Lacaze, J., Spaces of Functions with Asymptotic Conditions and Existence of Non Compact Maximal submanifolds of a Lorentzian Manifold.Lett. Math. Phys., 1: 6 (1977), 485

    Article  MATH  MathSciNet  Google Scholar 

  2. Cantor, M., Some problems of global analysis on asymptotically simple manifolds.Compositio Math., 38: 1 (1979), 3–35.

    MATH  MathSciNet  Google Scholar 

  3. —, A necessary and sufficient condition for York data to specify an asymptotically flat spacetime.J. Mathematical Phys., 20 (1979), 1741–1744.

    Article  MATH  MathSciNet  Google Scholar 

  4. Chaljub-Simon, A. &Choquet-Bruhat, Y., Problems elliptiques du second ordre sur une variete euclidienne a l'infini.Ann. Fac. Sci. Toulouse, 1 (1978), 9–25.

    MathSciNet  Google Scholar 

  5. Choquet-Bruhat, Y., DeWitt-Morette, C. & Dillard-Bleick, M.,Analysis, manifolds and physics. North Holland (1977).

  6. Choquet-Bruhat, Y. & York, J. W., Cauchy problem, inEinstein Centenary Volume. P. Bergman, J. Goldberg and A. Held editors (1979).

  7. Douglis, A. &Nirenberg, L., Interior estimates for elliptic systems of partial differential equations.Comm. Pure Appl. Math., 3 (1955), 503–538.

    MathSciNet  Google Scholar 

  8. Gilbarg, D. & Trudinger, N. S.,Elliptic partial differential equations of second order, Springer-Verlag (1977).

  9. Gårding, L., Dirichlet's problem for linear elliptic partial differential equations.Math. Scand., 1 (1953), 55–72.

    MATH  MathSciNet  Google Scholar 

  10. John, F.,Plane waves and spherical means applied to partial differential equations. Interscience Publishers, New York (1955).

    MATH  Google Scholar 

  11. Marsden, J.,Applications of global analysis in mathematical physics. Publish or Perish Inc., Boston Mass. (1974).

    MATH  Google Scholar 

  12. McOwen, R. C., Behavior of the Laplacian on weighted Sobolev spaces,Comm. Pure Appl. Math., 32 (1979), 783–795.

    MATH  MathSciNet  Google Scholar 

  13. Morrey, C. B.,Multiple integrals in the calculus of variations. Springer-Verlag (1966).

  14. Nirenberg, L. &Walker, H. F., The null spaces of elliptic partial differential operators inR n .J. Math. Anal. Appl., 42 (1973), 271–301.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department de Mécanique, Université de Paris, France

    Y. Choquet-bruhat

  2. Max-Planck-Institut für Astrophysik, München, Germany

    D. Christodoulou

Authors
  1. Y. Choquet-bruhat
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. Christodoulou
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Choquet-bruhat, Y., Christodoulou, D. Elliptic systems inH s,δ spaces on manifolds which are euclidean at infinity. Acta Math 146, 129–150 (1981). https://doi.org/10.1007/BF02392460

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02392460

Keywords

Search

Navigation