Carleman Estimates and Boundary Observability for a Coupled Parabolic-hyperbolic System
Date
2000-03-14
Authors
Albano, Paolo
Tataru, Daniel
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Carleman estimates, Observability, Thermo-elasticity
Citation
Albano, P., & Tataru, D. (2000). Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system. Electronic Journal of Differential Equations, 2000(22), pp. 1-15.
Rights
Attribution 4.0 International