Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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



Smoothness of decaying wave motions

Author: Jeffrey Rauch
Journal: Proc. Amer. Math. Soc. 49 (1975), 334-338
MSC: Primary 35L15
MathSciNet review: 0367463
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We show that for compactly supported perturbations of the wave equation, solutions whose total energy decays to zero must be smooth, provided that there are no trapped rays.

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

  • [1] Peter D. Lax and Ralph S. Phillips, Scattering theory, Pure and Applied Mathematics, Vol. 26, Academic Press, New York-London, 1967. MR 0217440
  • [2] Lars Hörmander, On the existence and the regularity of solutions of linear pseudo-differential equations, Enseignement Math. (2) 17 (1971), 99–163. MR 0331124
  • [3] J. Rauch and M. Taylor, Decaying states of perturbed wave motion (to appear).

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 35L15

Retrieve articles in all journals with MSC: 35L15

Additional Information

Article copyright: © Copyright 1975 American Mathematical Society

American Mathematical Society