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

Phillip Whitman; Pin Yu

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arXiv · 1007.3346

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

Phillip Whitman·Pin Yu

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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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Phillip Whitman, Pin Yu. 2010-07-20. A Uniqueness Theorem for Free Waves on $\mathbb{R}^{n+1}$. https://arxiv.org/abs/1007.3346

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