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

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

Mark L. Agranovsky
, Eric Todd Quinto

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

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.

Original language	English
Pages (from-to)	57-84
Number of pages	28
Journal	Duke Mathematical Journal
Volume	107
Issue number	1
DOIs	https://doi.org/10.1215/s0012-7094-01-10714-x
State	Published - 2001

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

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