Annali di Matematica Pura ed Applicata

, Volume 89, Issue 1, pp 1–29 | Cite as

The singular Cauchy problem for a non-linear hyperbolic equation

  • Seymour Singer


The author demonstrates the existence of a smooth solution to a singular initial value problem for a quasiliuear hyperbolic equation in two independent variables. The problem is transformed into an equivalent system of integral equations for which a solution is obtained by invoking Schauder’s fixed point theorem.


Integral Equation Cauchy Problem Point Theorem Fixed Point Theorem Smooth Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Nicola Zanichelli Editore 1971

Authors and Affiliations

  • Seymour Singer
    • 1
  1. 1.USA

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