Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II

Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II

General Boundary Conditions on Riemannian Manifolds

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This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including quantified unique continuation, logarithmic stabilization of the wave equation, and null-controllability of the heat equation. Where the first volume derived these estimates in regular open sets in Euclidean space and Dirichlet boundary conditions, here they are extended to Riemannian manifolds and more general boundary conditions.The book begins with the study of Lopatinskii-Sapiro boundary conditions for the Laplace-Beltrami oper...