Geometry of stationary sets for the wave equation in ℝn: The case of finitely supported initial data

Mark L. Agranovsky; Eric Todd Quinto

doi:10.1215/S0012-7094-01-10714-X

Abstract

We consider the Cauchy problem for the wave equation in the whole space ℝⁿ, with initial data that are distributions supported on finite sets. The main result is a precise description of the geometry of the sets of stationary points of the solutions to the wave equation.

Citation Download Citation

Mark L. Agranovsky and Eric Todd Quinto "Geometry of stationary sets for the wave equation in ℝⁿ: The case of finitely supported initial data," Duke Mathematical Journal 107(1), 57-84, (1 March 2001). https://doi.org/10.1215/S0012-7094-01-10714-X

Published: 1 March 2001

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS