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Communication Dans Un Congrès Année : 2023

Transparent scatterers and transmission eigenvalues of infinite multiplicity

Résumé

We give a short review of old and recent results on scatterers with transmission eigenvalues of infinite multiplicity, including transparent scatterers. Our examples include potentials from the Schwartz class and multipoint potentials of Bethe - Peierls type. This talk is based, in particular, on the works Grinevich, Novikov ( Comm. Math. Phys. 174, 409-446 (1995), EJMCA 9(4), 17-25 (2021), Russian Math. Surveys 77, 1021-1028 (2022)).
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hal-04243756 , version 1 (16-10-2023)

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  • HAL Id : hal-04243756 , version 1

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Piotr Grinevich, Roman Novikov. Transparent scatterers and transmission eigenvalues of infinite multiplicity. 11th Applied Inverse Problems Conference, Inverse Problems International Association (IPIA); CRC 1456 Mathematics of Experiment: The challenge of indirect measurements in the natural sciences; RTG 2088 Discovering Structure in Complex Data, Sep 2023, Göttingen, Germany. ⟨hal-04243756⟩
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