Skip to main content
SpringerLink
Log in

Global classical solutions of nonlinear wave equations

  • Published:
Mathematische Zeitschrift 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. Bergh, J., Löfström, J.: Interpolation spaces. Berlin, Heidelberg, New York: Springer 1976

    Google Scholar 

  2. Brenner, P.: On the Existence of Global Smooth Solutions of Certain Semi-Linear Hyperbolic Equations. Math. Z.167, 99–135 (1979)

    Google Scholar 

  3. Browder, F.E.: On the Spectral Theory of Elliptic Differential Operators I. Math. Ann.142, 22–130 (1961)

    Google Scholar 

  4. Heinz, E., Wahl, W. von: Zu einem Satz von F.E. Browder über nichtlineare Wellengleichungen. Math. Z.141, 33–45 (1975)

    Google Scholar 

  5. Pecher, H.:L p-Abschätzungen und klassische Lösungen für nichtlineare Wellengleichungen. Math. Z.150, 159–183 (1976)

    Google Scholar 

  6. Pecher, H.: Ein nichtlinearer Interpolationssatz und seine Anwendung auf nichtlineare Wellengleichungen. Math. Z.161, 9–40 (1978)

    Google Scholar 

  7. Tanabe, H.: Equations of Evolution. London, San Francisco, Melbourne: Pitman 1979

    Google Scholar 

  8. Triebel, H.: Interpolation Theory, Function Spaces, Differential Operators. Amsterdam: North Holland 1978

    Google Scholar 

  9. Wahl, W. von: Klassische Lösungen nichtlinearer Wellengleichungen im Großen. Math. Z.112, 241–279 (1969)

    Google Scholar 

  10. Wahl, W. von: Nichtlineare Wellengleichungen mit zeitabhängigem elliptischen Hauptteil. Math. Z.142, 105–120 (1975)

    Google Scholar 

  11. Wahl, W. von: Regular Solutions of Initial-Boundary Value Problems for Linear and Nonlinear Wave-Equations II. Math. Z.142, 121–130 (1975)

    Google Scholar 

  12. Wahl, W. von: Analytische Abbildungen und semilineare Differentialgleichungen in Banachräumen. Nachr. Ak. d. Wiss. Göttingen, II. Mathematisch-Physikalische Klasse, 153–200 (1979)

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Chalmers, University of Technology and University of Göteborg, Fack, S-402 20, Göteborg, Sweden

    Philip Brenner

  2. Lehrstuhl für Angewandte Mathematik, Universität Bayreuth, Postfach 3008, D-8580, Bayreuth, Germany

    Wolf von Wahl

Authors
  1. Philip Brenner
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wolf von Wahl
    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

Brenner, P., von Wahl, W. Global classical solutions of nonlinear wave equations. Math Z 176, 87–121 (1981). https://doi.org/10.1007/BF01258907

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01258907

Keywords

Search

Navigation