Titlebook: Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems; Mourad Bellassoued,Masahiro Yamamoto Book 2017 Springer Ja

fibula

AgBr: phase transitions, , phase diagram,In Chap.?., we proved Carleman estimates under Assumptions (A.1)–(A.3). The purpose of this chapter is to give a convenient condition for verifying (A.1).

粗糙濫制

https://doi.org/10.1007/978-3-642-14148-5In this chapter, we establish Carleman estimates for a thermoelastic plate system and a thermoelastic system with residual stress as applications of the Carleman estimate in Chap.?..

北極人

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門窗的側(cè)柱

小爭吵

Basic Tools of Riemannian Geometry,In this chapter, we collect some material concerning Riemannian manifolds equipped with metric structures, and our choice of material presented is made for the applications to Carleman estimates and inverse problems in the succeeding chapters.

敲詐

Well-Posedness and Regularity for the Wave Equation with Variable Coefficients,In this chapter, we will consider the initial-boundary value problem for the wave equation on a manifold with boundary. The initial-boundary value problem corresponds to the elliptic operator . introduced in Chap.?.. We will develop a standard approach to prove the existence and uniqueness of solutions and to study their regularity proprieties.

光亮

Realization of the Convexity of the Weight Function,In Chap.?., we proved Carleman estimates under Assumptions (A.1)–(A.3). The purpose of this chapter is to give a convenient condition for verifying (A.1).

嚴(yán)峻考驗(yàn)

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Inverse Heat Source Problem for the Thermoelasticity System,Using arguments similar to those presented in Chap.?., we can apply the Carleman estimates obtained in Chap.?. to the corrresponding inverse problems of determining coefficients and source terms.