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

preprint2010arXivOpen access

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.

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