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Serge Nicaise, Ouahiba Zaïr (2003)
Revista Matemática Complutense
We consider the inverse problem of determining point wave sources in heteregeneous trees, extensions of one-dimensional stratified sets. We show that the Neumann boundary observation on a part of the lateral boundary determines uniquely the point sources if the time of observation is large enough. We further establish a conditional stability and give a reconstructing scheme.
Nicaise, Serge, Zaïr, Ouahiba (2003)
Portugaliae Mathematica. Nova Série
Banks, H.T., Kurdila, A.J., Webb, G. (1997)
Mathematical Problems in Engineering
Leila Ouksel (2008)
ESAIM: Control, Optimisation and Calculus of Variations
Dans ce travail, nous donnons une estimation logarithmique des données de la solution u, d'un problème hyperbolique avec condition aux limites de type Neumann, par la trace de u restreinte à un ouvert du bord, pendant un temps suffisamment grand qui nous permet d'estimer la fonction de coût de ce problème.
Bouziani, Abdelfatah (2002)
International Journal of Mathematics and Mathematical Sciences
Heinz-Otto Kreiss, Omar E. Ortiz, N. Anders Petersson (2012)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
We develop a well-posedness theory for second order systems in bounded domains where boundary phenomena like glancing and surface waves play an important role. Attempts have previously been made to write a second order system consisting of n equations as a larger first order system. Unfortunately, the resulting first order system consists, in general, of more than 2n equations which leads to many complications, such as side conditions which must be satisfied by the solution of the larger first order...
Heinz-Otto Kreiss, Omar E. Ortiz, N. Anders Petersson (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
We develop a well-posedness theory for second order systems in bounded domains where boundary phenomena like glancing and surface waves play an important role. Attempts have previously been made to write a second order system consisting of n equations as a larger first order system. Unfortunately, the resulting first order system consists, in general, of more than 2n equations which leads to many complications, such as side conditions which must...
Nicaise, Serge, Pignotti, Cristina (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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