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.

Published

2020-05-12

Issue

Section

Articles