Skip to main content
SpringerLink
Log in

Differentiability of the blow-up curve for one dimensional nonlinear wave equations

  • Published:
Archive for Rational Mechanics and Analysis 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. L. A. Caffarelli & A. Friedman, The blow-up boundary for nonlinear wave equations, to appear.

  2. R. Glassey, Blow-up theorems for nonlinear wave equations, Math. Z. 132 (1973), 183–203.

    Google Scholar 

  3. R. Glassey, Finite-time blow-up for solutions of nonlinear wave equations, Math. Z. 177 (1981), 323–340.

    Google Scholar 

  4. F. John, Blow-up of solutions of nonlinear wave equations in three space dimensions, Manuscripta Math. 28 (1979), 235–268.

    Google Scholar 

  5. H. Levine, Instability and nonexistence of global solutions to nonlinear wave equations of the form Pu tt =−Au+F(u), Trans. Amer. Math. Soc. 192 (1974), 1–21.

    Google Scholar 

  6. T. Kato, Blow-up solutions of some nonlinear hyperbolic equations, Comm. Pure Appl. Math. 32 (1980), 501–505.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Chicago, Chicago, Illinois

    Luis A. Caffarelli & Avner Friedman

  2. Northwestern University, Evanston, Illinois

    Luis A. Caffarelli & Avner Friedman

Authors
  1. Luis A. Caffarelli
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Avner Friedman
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to Jim Serrin

This work is partially supported by National Science Foundation Grants 7406375 and MCS 7915171.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Caffarelli, L.A., Friedman, A. Differentiability of the blow-up curve for one dimensional nonlinear wave equations. Arch. Rational Mech. Anal. 91, 83–98 (1985). https://doi.org/10.1007/BF00280224

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00280224

Keywords

Search

Navigation