Lipschitz stability in the lateral Cauchy problem for elasticity system

Carleman Type Estimates and Their Applications

“…In the paper [4] there is a similar Lipschitz stability result in the lateral Cauchy problem for the classical dynamical elasticity system.…”

“…Theorem 2. 4 is not yet proven for not compactly supported functions. We believe that it can be done by combining the proofs of Theorem 2.1 and proofs in [11].…”

“…We will use that Let us compute the left side in (4). Using the formulas after (14) and (15) as well as the notation ( = ~ + iT'V7/J we obtain…”

Global Uniqueness and Stability for an Inverse Wave Source Problem for Less Regular Data

“…For related results, see Cheng et al [1], Isakov and Yamamoto [2], Lasiecka et al [4], López et al [8], Tataru [10], Yong and Zhang [14], and Zhang [15].…”

Carleman estimates for the Schrödinger equation and applications to an inverse problem and an observability inequality

“…As for the method of applying Carleman estimate to derive observability inequalities, see [22,27]. As for observability inequalities by Carleman estimates, see further [7,8,17,21,[28][29][30][31]33].…”