Results 71 to 80 of about 651 (202)
Lipschitz stability for linear parabolic systems with interior degeneracy
In this article, we study an inverse problem for linear degenerate parabolic systems with one force. We establish Lipschitz stability for the source term from measurements of one component of the solution at a positive time and on a subset of the ...
Idriss Boutaayamou +2 more
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The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes. [PDF]
Holzegel G, Shao A.
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We study a reachability problem for a second-order integro-differential equation on a finite-dimensional Riemannian manifold, which is a model equation for viscoelasiticity.
Kang Zhou
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Carleman and observability estimates for stochastic beam equation [PDF]
Maoding Zhen
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Optimal Flat Functions in Carleman-Roumieu Ultraholomorphic Classes in Sectors. [PDF]
Jiménez-Garrido J +3 more
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Conditional stability of a solution of a difference scheme for an ill-posed Cauchy problem
In this article, we obtain criteria for stability of two-layer difference schemes for an abstract ill-posed Cauchy problem. Method of proof is based on obtaining a priori difference weighted Carleman type estimates.
Murat A. Sultanov +2 more
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Null controllability for linear parabolic cascade systems with interior degeneracy
We study the null controllability problem for linear degenerate parabolic systems with one control force through Carleman estimates for the associated adjoint problem.
Idriss Boutaayamou, Jawad Salhi
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Uniqueness results for variable coefficient Schrödinger equations
In this note we shall present some result proved in [16] on the uniqueness of Schrödinger equations with space-variable coefficients, that is Schrödinger equations where the Laplacian is replaced by an elliptic operator with space-variable coefficients.
Serena Federico
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Carleman estimates and boundedness of associated multiplier operators [PDF]
Eun-Hee Jeong, Yehyun Kwon, Sanghyuk Lee
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Carleman Type Estimates in an Anisotropic Case and Applications
We give proofs and some further applications of estimates announced in the author's note [Sov. Math. Dokl. 22, 639-642 (1980); transl. from Dokl. Akad. Nauk SSSR 255, 18-21 (1980; Zbl 0468.35030)]. These results extend those of \textit{L. Hörmander} [Linear partial differential operators, Springer, Berlin etc.
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