Skip to main content
SpringerLink
Log in

Periodic solutions of nonlinear wave-equations with a dissipative term

  • Published:
Mathematische Annalen 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. Berger, M. S.: On periodic solutions of nonlinear hyperbolic equations and the calculus of variations. Bull. Am. Math. Soc.76, 633–637 (1970).

    Google Scholar 

  2. Browder, F. E.: On the spectral theory of elliptic partial differential operators I. Math. Ann.142, 22–130 (1961).

    Google Scholar 

  3. Havlová, J.: Periodic solutions of a nonlinear telegraph equation. Časopis Pěst. Math.90, 273–289 (1965).

    Google Scholar 

  4. Heinz, E.: Beiträge zur Störungstheorie der Spektralzerlegung. Math. Ann.123, 415–438 (1951).

    Google Scholar 

  5. Lions, J. L.: Équations differentielles operationnelles et problémes aux limites. Berlin-Göttingen-Heidelberg: Springer 1961.

    Google Scholar 

  6. —— Quelques méthodes de résolution des problémes aux limites non linéaires. Paris: Dunod, Gauthier Villars 1969.

    Google Scholar 

  7. Rabinowitz, P. H.: Periodic solutions of non-linear hyperbolic partial differential equations. Comm. Pure Applied Math.20, 145–206 (1967).

    Google Scholar 

  8. —— Periodic solutions of non-linear hyperbolic partial differential equations. Comm. Pure Applied Math.22, 25–39 (1969).

    Google Scholar 

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

    Google Scholar 

  10. —— Ein Anfangswertproblem für hyperbolische Gleichungen mit nichtlinearem elliptischen Hauptteil. Math. Z.115, 201–226 (1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut der Universität, Bunsenstraße 3-5, BRD-3400, Göttingen, Germany

    Wolf von Wahl

Authors
  1. 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

von Wahl, W. Periodic solutions of nonlinear wave-equations with a dissipative term. Math. Ann. 190, 313–322 (1971). https://doi.org/10.1007/BF01431160

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01431160

Keywords

Search

Navigation