Higashimori, Nobuyuki A conditional stability estimate for determining a cavity in an elastic material. (English) Zbl 0995.35082 Proc. Japan Acad., Ser. A 78, No. 2, 15-17 (2002). Summary: We consider an inverse problem of identifying an unknown cavity within an elastic material by a single boundary measurement. For this problem we show a conditional stability estimate. Cited in 1 Document MSC: 35R30 Inverse problems for PDEs 35Q72 Other PDE from mechanics (MSC2000) 74G75 Inverse problems in equilibrium solid mechanics Keywords:Lamé system; conditional stability; elastostatic measurement PDF BibTeX XML Cite \textit{N. Higashimori}, Proc. Japan Acad., Ser. A 78, No. 2, 15--17 (2002; Zbl 0995.35082) Full Text: DOI OpenURL References: [1] Alessandrini, G., Beretta, E., Rosset, E., and Vessella, S.: Optimal stability for inverse elliptic boundary value problem with unknown boundaries. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 29 (4), 755-806 (2000). · Zbl 1034.35148 [2] Beretta, E., and Vessella, S.: Stable determination of boundaries from Cauchy data. SIAM J. Math. Anal., 30 , 220-232 (1998). · Zbl 0928.35201 [3] Isakov, V.: Inverse Problems for Partial Differential Equations. Appl. Math. Sci., vol. 127, Springer, New York (1998). · Zbl 0908.35134 [4] Kukavika, I.: Quantitative uniqueness for second-order elliptic operators. Duke Math. J., 91 , 225-240 (1998). · Zbl 0947.35045 [5] Gilbarg, D., and Trudinger, N. S.: Elliptic Partial Differential Equations of Second Order. 3rd ed., Springer, Berlin (1983). · Zbl 0562.35001 [6] Ciarlet, P. G.: Three Dimensional Elasticity.North-Holland, Amsterdam (1988). · Zbl 0648.73014 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.