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On a local solvability and stability of the inverse transmission eigenvalue problem. (English) Zbl 1516.35495

Summary: We prove a local solvability and stability of the inverse transmission eigenvalue problem posed by J. R. McLaughlin and P. L. Polyakov [J. Differ. Equations 107, No. 2, 351–382 (1994; Zbl 0803.35163)]. In particular, this result establishes the minimality of the data used therein. The proof is constructive.

MSC:

35R30 Inverse problems for PDEs
35P05 General topics in linear spectral theory for PDEs

Citations:

Zbl 0803.35163
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References:

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