An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator

Bhattacharyya, Sombuddha; Ghosh, Tuhin

An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator

Bhattacharyya S, Ghosh T (2021)
Mathematische Annalen.

Zeitschriftenaufsatz | Veröffentlicht | Englisch

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DOI

https://doi.org/10.1007/s00208-021-02276-6

URN

urn:nbn:de:0070-pub-29645638

Autor*in

Bhattacharyya, Sombuddha; Ghosh, Tuhin^UniBi

Einrichtung

Fakultät für Mathematik

Abstract / Bemerkung

This article offers a study of the Calderón type inverse problem of determining up to second order coefficients of higher order elliptic operators. Here we show that it is possible to determine an anisotropic second order perturbation given by a symmetric matrix, along with a first order perturbation given by a vector field and a zero-th order potential function inside a bounded domain, by measuring the Dirichlet to Neumann map of the perturbed biharmonic operator on the boundary of that domain.

Erscheinungsjahr

2021

Zeitschriftentitel

Mathematische Annalen

Urheberrecht / Lizenzen

Creative Commons Namensnennung 4.0 International Public License (CC-BY 4.0)

ISSN

0025-5831

eISSN

1432-1807

Finanzierungs-Informationen

Open-Access-Publikationskosten wurden durch die Universität Bielefeld im Rahmen des DEAL-Vertrags gefördert.

Page URI

https://pub.uni-bielefeld.de/record/2964563

Zitieren

Bhattacharyya S, Ghosh T. An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator. Mathematische Annalen. 2021.

Bhattacharyya, S., & Ghosh, T. (2021). An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator. Mathematische Annalen. https://doi.org/10.1007/s00208-021-02276-6

Bhattacharyya, Sombuddha, and Ghosh, Tuhin. 2021. “An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator”. Mathematische Annalen.

Bhattacharyya, S., and Ghosh, T. (2021). An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator. Mathematische Annalen.

Bhattacharyya, S., & Ghosh, T., 2021. An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator. Mathematische Annalen.

S. Bhattacharyya and T. Ghosh, “An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator”, Mathematische Annalen, 2021.

Bhattacharyya, S., Ghosh, T.: An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator. Mathematische Annalen. (2021).

Bhattacharyya, Sombuddha, and Ghosh, Tuhin. “An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator”. Mathematische Annalen (2021).

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