A Uniqueness Theorem for Linear Wave Equations

Phillip Whitman; Pin Yu

doi:10.4208/jpde.v26.n4.1

A Uniqueness Theorem for Linear Wave Equations

Authors

Phillip Whitman Department of Mathematics, Princeton University, Princeton 08540, New Jersey, USA
Pin Yu Mathematical Sciences Center, Tsinghua University, Haidian District, Beijing 100084, China

DOI:

https://doi.org/10.4208/jpde.v26.n4.1

Keywords:

Nehari manifold;quasilinear elliptic equation;Sobolev critical exponent

Abstract

The classical Huygens' principle asserts that the initial data of a wave equation determines the wave propagation in the domain of dependence of the support of the data. We provide a converse version of this theorem.

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Published

2020-05-12

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Issue

Vol. 26 No. 4 (2013)

Section

Articles

How to Cite

A Uniqueness Theorem for Linear Wave Equations. (2020). Journal of Partial Differential Equations, 26(4), 289-299. https://doi.org/10.4208/jpde.v26.n4.1