A Uniqueness Theorem for Free Waves on ${\mathbb{R}}^{n+1}$

Abstract

In this short note, based on Carleman estimates and Holmgren's type theorems, we provide a converse theorem of the classical Huygens principle for free wave equations. Possible generalizations to other underlying space-times or other wave type equations are also discussed.

8 pages, no figure

References in corpus (2)

• On the uniqueness of smooth, stationary black holes in vacuum
• Uniqueness results for ill posed characteristic problems in curved space-times