Geodesic
Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system
Electronic journal of differential equations, Tome 2000 (2000)
This paper studies a problem of boundary observability for a coupled system of parabolic-hyperbolic type. First, we prove some Carleman estimates with singular weights for the heat and for the wave equations. Then we combine these results to obtain an observability result for the system. We conclude with a discussion about operators with constant coefficients.
Classification : 93B07, 74F05
Keywords: Carleman estimates, observability, thermo-elasticity 
@article{EJDE_2000__2000__a165,
     author = {Albano,  Paolo and Tataru,  Daniel},
     title = {Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system},
     journal = {Electronic journal of differential equations},
     year = {2000},
     volume = {2000},
     zbl = {0958.93012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a165/}
}
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JO  - Electronic journal of differential equations
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VL  - 2000
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%A Albano,  Paolo
%A Tataru,  Daniel
%T Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system
%J Electronic journal of differential equations
%D 2000
%V 2000
%U http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a165/
%G en
%F EJDE_2000__2000__a165
Albano,  Paolo; Tataru,  Daniel. Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system. Electronic journal of differential equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a165/