Skip to main content
SpringerLink
Log in

Hyperbolic exterior differential systems and their conservation laws, part II

  • Published:
Selecta Mathematica Aims and scope Submit manuscript

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. I. Anderson and N. Kamran.The variational bicomplex for second order partial differential equations in the plane I: generalized Laplace invariants and their applications. preprint, Fall 1993.

  2. R. Bryant, S.-S. Chern, R. Gardner, H. Goldschmidt, and P. Griffiths.Exterior differential systems. Mathematical Sciences Research Institute Publications #18, Springer-Verlag (1991).

  3. R. Bryant and P. Griffiths.Characteristic cohomology of differential systems (I): General theory. IAS preprint (1993).

  4. R. Bryant and P. Griffiths.Characteristic cohomology of differential systems (II): Conservation Laws for a Class of Parabolic Equations. IAS preprint (1993).

  5. R. Courant and D. Hilbert.Methods of Mathematical Physics, Volume I. Interscience, New York (1953),Volume II, Interscience, New York (1962).

    Google Scholar 

  6. G. Darboux.Leçons sur la théorie general des surfaces, Tome II. Hermann, Paris (1915).

    Google Scholar 

  7. Ph. Le Floch and Z. Xin.Uniqueness via the adjoint problems for systems of conservation laws. Comm. Pure and Applied Math.,46 (1993), 1499–1533.

    Google Scholar 

  8. E. Goursat.Leçons sur l'intégration des équations aux dérivées partielles du second ordre à deux variables indépendantes, Tome 1. Hermann, Paris (1896),Tome 2, Hermann, Paris (1898).

    Google Scholar 

  9. K. Kakié.A fundamental property of Monge characteristics in involutive systems of non-linear partial differential equations and its application. Math. Ann.,273 (1985), 89–114.

    Google Scholar 

  10. P. Lax.Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations. J. Math. Phys.,5 (1964), 611–613.

    Google Scholar 

  11. S. Lie.Diskussion der Differential Gleichung s=F(z). Arc. Math.,6 (1881), 112–124.

    Google Scholar 

  12. D. Yang.Involutive hyperbolic differential systems. Memoirs of the American Math. Society68, no. 370, (1987).

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Duke University, 27708, Durham, NC, USA

    R. Bryant

  2. Institute for Advanced Study, 08540, Princeton, NJ, USA

    P. Griffiths

  3. School of Mathematics, Institute for Advanced Study, 08540, Princeton, NJ, USA

    L. Hsu

Authors
  1. R. Bryant
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. Griffiths
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. L. Hsu
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This research was supported in part by NSF Grant DMS 9205222 (Bryant), an NSERC Postdoctoral Fellowship (Hsu), and the Institute for Advanced Study (Griffiths and Hsu).LAS Preprint: 1/25/94.

Part I appeared in Vol. 1, No. 1 of this journal.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bryant, R., Griffiths, P. & Hsu, L. Hyperbolic exterior differential systems and their conservation laws, part II. Selecta Mathematica, New Series 1, 265–323 (1995). https://doi.org/10.1007/BF01671567

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01671567

Keywords

Search

Navigation