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Existence and uniqueness of global solutions for wave equations with scalar nonlinearities

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Abstract

We prove an existence and uniqueness theorem of global solutions for wave equations with “scalar nonlinearities”. Our paper is a generalization of the work of D. Kremer [4].

Zusammenfassung

Es wird ein Existenz- und Eindeutigkeitssatz für globale Lösungen von Wellengleichungen mit „skalaren Nichtlinearitäten“ bewiesen. Die Arbeit stellt eine Verallgemeinerung der Arbeit von D. Kremer [4] dar.

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References

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  6. M. Hochstein-Kind,Existenz und Eindeutigkeit globaler Lösungen für Wellengleichungen mit skalaren Nichtlinearitäten, Diplomarbeit, Universität zu Köln 1987.

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Authors and Affiliations

  1. Mathematisches Institut der Universität zu Köln, Weyertal 86-90, 5000, Köln 1, Germany

    Maria Hochstein-Kind

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  1. Maria Hochstein-Kind
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Hochstein-Kind, M. Existence and uniqueness of global solutions for wave equations with scalar nonlinearities. Z. angew. Math. Phys. 39, 753–755 (1988). https://doi.org/10.1007/BF00948736

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  • DOI: https://doi.org/10.1007/BF00948736

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