Biblioteca de la Universidad Complutense de Madrid

Unique Continuation for the Linearized Benjamin-Bona-Mahony Equation with Space-Dependent Potential

Impacto



Zhang, Xu y Zuazua Iriondo, Enrique (2003) Unique Continuation for the Linearized Benjamin-Bona-Mahony Equation with Space-Dependent Potential. Mathematische Annalen, 326 (3). 543-582 . ISSN 0025-5831

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URL Oficial: http://www.springerlink.com/content/100442/



Resumen

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.


Tipo de documento:Artículo
Palabras clave:Energy Decays, Stabilization
Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:12299
Depositado:01 Mar 2011 09:28
Última Modificación:06 Jun 2011 09:35

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