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. <i>Electronic Journal of Differential Equations, 2000</i>(22), pp. 1-15.

Rights

Attribution 4.0 International

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