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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

The initial value problem for a degenerate wave equation


Authors: Y. Kannai and S. Kiro
Journal: Proc. Amer. Math. Soc. 104 (1988), 125-130
MSC: Primary 35L80; Secondary 35H05, 58G17
MathSciNet review: 958055
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Abstract: The Cauchy problem for a degenerate wave equation, for which the spatial part is essentially a hypoelliptic sum of squares, is solved via a suitable modification of the standard Hilbert space approach for the usual problem.


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

  • [1] Lars Hörmander, The analysis of linear partial differential operators. III, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 274, Springer-Verlag, Berlin, 1985. Pseudodifferential operators. MR 781536
  • [2] Linda Preiss Rothschild and E. M. Stein, Hypoelliptic differential operators and nilpotent groups, Acta Math. 137 (1976), no. 3-4, 247–320. MR 0436223
  • [3] Kôsaku Yosida, Functional analysis, Second edition. Die Grundlehren der mathematischen Wissenschaften, Band 123, Springer-Verlag New York Inc., New York, 1968. MR 0239384

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DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0958055-6
Article copyright: © Copyright 1988 American Mathematical Society