Hostname: page-component-7f64f4797f-pmsz9 Total loading time: 0 Render date: 2025-11-04T06:15:13.371Z Has data issue: false hasContentIssue false
  • English
  • Français

Note on propagation of classical waves: I

Published online by Cambridge University Press:  24 October 2008

H. Kaneta
H. Kaneta
Affiliation:
Tokushima University, Japan
Get access Rights & Permissions [Opens in a new window]

Extract

1. Consider the Cauchy problem for the classical wave equation in ℝn:

with initial conditions u(0, x) = uo(x) and ∂tu(0, x)= u1(x), where uj (j = 0,1) are compactly supported C∞ functions on ℝn. In this paper we shall establish the following result.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 98 , Issue 1 , July 1985 , pp. 179 - 181
Copyright
Copyright © Cambridge Philosophical Society 1985

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

REFERENCES

[1]John, F.. Plane Waves and Spherical Means (Springer-Verlag, 1955).Google Scholar
[2]Ludwig, D.. The Radon transform or Euclidean space. Comm. Pure and Appl. Math. 19 (1966), 49–81.CrossRefGoogle Scholar
[3]Mizohata, S.. The Theory of Partial Differential Equations (Cambridge University Press, 1973).Google Scholar
[4]Watson, G. N.. A Treatise on the Theory of Bessel Functions (Cambridge University Press, 1922).Google Scholar