Equipartition of Energy for Waves in Symmetric Space

@inproceedings{Branson1991EquipartitionOE,
  title={Equipartition of Energy for Waves in Symmetric Space},
  author={Thomas P. Branson},
  year={1991}
}
Let X = G=K be an odd-dimensional semisimple Riemannian symmetric space of the noncompact type, and suppose that all Cartan subgroups of G are conjugate. Let u be a real-valued classical solution of the modiied wave equation u tt = ((+ k)u on R X, the Cauchy data of which are supported in a closed metric ball of radius a at time t = 0. Here t is the coordinate on R, is the (nonpositive deenite) Laplace-Beltrami operator on X, and k is a positive constant depending on the root structure of the… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-7 of 7 references

Conserved quantity partition for Dirac's equation

  • T. Branson
  • Quart. Appl. Math
  • 1984

The conformal invariance of Huygens' principle

  • B. rsted
  • J. Di . Geom
  • 1981

Equipartition of energy for Maxwell's equations

  • G. Dassios
  • Quart. Appl. Math
  • 1980
1 Excerpt

An example of Huygens' principle, Commun

  • P. Lax, R. Phillips
  • Pure Appl. Math
  • 1978

Integral constants in wave motion

  • E. Zachmanoglou
  • J. Math. Anal. Appl
  • 1972

The limiting amplitude principle, Commun

  • C. Morawetz
  • Pure Appl. Math
  • 1962

Invariant a ne connections on homogeneous spaces, Amer

  • K. Nomizu
  • J. Math
  • 1954

Similar Papers

Loading similar papers…