Inverse scattering for three-dimensional quasi-linear biharmonic operator
Harju, Markus; Kultima, Jaakko; Serov, Valery (2022-01-06)
Harju, Markus
Kultima, Jaakko
Serov, Valery
De Gruyter
06.01.2022
Harju, M., Kultima, J. & Serov, V. (2022). Inverse scattering for three-dimensional quasi-linear biharmonic operator. Journal of Inverse and Ill-posed Problems, 30(3), 379-393. https://doi.org/10.1515/jiip-2020-0069
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© 2022 Walter de Gruyter GmbH, Berlin/Boston.
https://rightsstatements.org/vocab/InC/1.0/
© 2022 Walter de Gruyter GmbH, Berlin/Boston.
https://rightsstatements.org/vocab/InC/1.0/
Julkaisun pysyvä osoite on
https://urn.fi/URN:NBN:fi-fe2023032733285
https://urn.fi/URN:NBN:fi-fe2023032733285
Tiivistelmä
Abstract
We consider an inverse scattering problem of recovering the unknown coefficients of a quasi-linearly perturbed biharmonic operator in the three-dimensional case. These unknown complex-valued coefficients are assumed to satisfy some regularity conditions on their nonlinearity, but they can be discontinuous or singular in their space variable. We prove Saito’s formula and uniqueness theorem of recovering some essential information about the unknown coefficients from the knowledge of the high frequency scattering amplitude.
Kokoelmat
- Avoin saatavuus [31978]