Springer Monographs in Mathematics.
Springer.
2017.
P. 111-166
Carleman Estimate for the Wave Equation on a Riemannian Manifold
In this chapter, we prove a Carleman estimate with a second large parameter for a second-order hyperbolic operator on a Riemannian manifold MM. Our Carleman estimate holds in the whole cylindrical domain Q=M×(0,T)Q=M×(0,T) independently of the level set generated by a weight function. The proof is direct, relying on the calculus of tensor fields on a Riemannian manifold. © 2017, Springer Science and Business Media Deutschland GmbH. All rights reserved.
Authors
Bellassoued M.1
,
Yamamoto M.
2,
3
Collection of articles
Publisher
Springer
Language
English
Pages
81-110
Status
Published
Year
2017
Organizations
- 1 Department of Mathematics, ENIT—LAMSIN, University of Tunis El Manar, Tunis, Tunisia
- 2 Department of Mathematical Sciences, The University of Tokyo, Tokyo, Japan
- 3 Research Center of Nonlinear Problems of Mathematical Physics, Peoples’ Friendship University of Russia, Moscow, Russian Federation
Date of creation
06.07.2022
Date of change
06.07.2022
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BASICS OF CARLEMAN ESTIMATES
Article
Springer Monographs in Mathematics.
Springer.
2017.
P. 1-50