TY - JOUR
T1 - A Uniqueness Theorem for Linear Wave Equations
AU - Whitman , Phillip
AU - Yu , Pin
JO - Journal of Partial Differential Equations
VL - 4
SP - 289
EP - 299
PY - 2013
DA - 2013/12
SN - 26
DO - http://doi.org/10.4208/jpde.v26.n4.1
UR - https://global-sci.org/intro/article_detail/jpde/5165.html
KW - Nehari manifold
KW - quasilinear elliptic equation
KW - Sobolev critical exponent
AB - <p>The classical Huygens&#39; 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.</p>