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

Information

Published: 1 March 2001

First available in Project Euclid: 5 August 2004

zbMATH: 1010.35001

MathSciNet: MR1815250

Digital Object Identifier: 10.1215/S0012-7094-01-10714-X

Subjects:

Primary: 35L05

Secondary: 35L10 , 35S30 , 44A12

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS