RT Journal Article
T1 Unique Continuation for the Linearized Benjamin-Bona-Mahony Equation with Space-Dependent Potential
A1 Zhang, Xu
A1 Zuazua Iriondo, Enrique
AB In this paper, we analyze the unique continuation problem for the linearized Benjamin-Bona-Mahony equation with space-dependent potential in a bounded interval with Dirichlet boundary conditions. We prove two unique continuation results by means of spectral analysis and the (generalized) eigenvector expansion of the solution, instead of the usual Holmgren-type method or Carleman-type estimates. It is found that the unique continuation property depends very strongly on the nature of the potential and, in particular, on its zero set, and not only on its boundedness or integrability properties.
PB Springer
SN 0025-5831
YR 2003
FD 2003
LK https://hdl.handle.net/20.500.14352/57014
UL https://hdl.handle.net/20.500.14352/57014
LA eng
NO DGES
NO EU TMR
DS Docta Complutense
RD 2 jul 2025