This paper studies a problem of boundary observability for a coupled system of parabolic–hyperbolic type. First, we prove some Carleman esti- mates 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.
Albano P., Tataru D. (2000). Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2000(22), 1-15.
Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system
Albano P.;
2000
Abstract
This paper studies a problem of boundary observability for a coupled system of parabolic–hyperbolic type. First, we prove some Carleman esti- mates 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.File in questo prodotto:
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