Archive for Rational Mechanics and Analysis

, Volume 19, Issue 4, pp 299–307 | Cite as

The fundamental solution and Huygens' principle for decomposable differential operators

  • John E. Lagnese
Article
Received:

Keywords

Neural Network Complex System Nonlinear Dynamics Differential Operator Huygens 
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References

  1. [1]
    Ruse, H., A. Walker, & T. Willmore, Harmonic Spaces. Rome: Edizioni Cremonese 1961.Google Scholar
  2. [2]
    Courant, R., & D. Hilbert, Methods of Mathematical Physics, Vol. II. New York: Interscience 1962.Google Scholar
  3. [3]
    Hadamard, J., Lectures on Cauchy's Problem in Linear Partial Differential Equations. New Haven: Yale Univ. Press 1922.Google Scholar
  4. [4]
    Riesz, M., L'intégrale de Riemann-Liouville et le problème de Cauchy. Acta Math. 81, 1–223 (1949).Google Scholar
  5. [5]
    Stellmacher, K., Eine Klasse Huyghenscher Differentialgleichungen und ihre Integration. Math. Ann. 130, 219–233 (1955).Google Scholar

Copyright information

© Springer-Verlag 1965

Authors and Affiliations

  • John E. Lagnese
    • 1
  1. 1.National Bureau of StandardsWashington 25, D.C.

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