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A maximum property for the characteristic initial value problem of the wave equation

Author: H. Rhee
Journal: Proc. Amer. Math. Soc. 46 (1974), 77-78
MSC: Primary 35L05
MathSciNet review: 0377289
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Abstract: A maximum property is obtained for the solutions of the odd-dimensional wave equation in the interior of the characteristic cone.

References [Enhancements On Off] (What's this?)

  • [1] R. Courant and D. Hilbert, Methods of mathematical physics. II: Partial differential equations, Interscience, New York, 1962. MR 25 #4216.
  • [2] M. Protter and H. Weinberger, Maximum principles in differential equations, Prentice-Hall, Englewood Cliffs, N. J., 1967. MR 36 #2935. MR 0219861 (36:2935)
  • [3] M. Riesz, L'intégrale de Riemann-Liouville et le problème de Cauchy, Acta Math. 81 (1949), 1-223. MR 10, 713. MR 0030102 (10:713c)

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Keywords: Wave equation, ellipsoidal means, maximum property, characteristic cone
Article copyright: © Copyright 1974 American Mathematical Society

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