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Published in:
2009 | OriginalPaper | Chapter
Carleman Estimates with Second Large Parameter for Second Order Operators
Authors : Prof. Victor Isakov, Nanhee Kim
Published in: Sobolev Spaces in Mathematics III
Publisher: Springer New York
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We prove Carleman type estimates with two large parameters for general linear partial differential operators of second order. Using the second large parameter, from results for scalar equations we derive Carleman estimates for dynamical Lamé system with residual stress. These estimates are used to prove the Hölder and Lipschitz stability for the continuation of solutions under pseudoconvexity assumptions. So, the first uniqueness and stability of the continuation results are established for an important anisotropic system of elasticity without the assumption that this anisotropic system is close to an isotropic system.