On increasing stability of the continuation for elliptic equations of second order without (pseudo)convexity assumptions

DOI10.3934/IPI.2019044zbMath1423.35447OpenAlexW2963482964MaRDI QIDQ2327985

Victor Isakov

Publication date: 8 October 2019

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/ipi.2019044

zbMATH Keywords

Fourier transformCauchy probleminverse problemsHelmholtz equationstability of the continuation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (6)

On increasing stability in an inverse source problem with local boundary data at many wave numbers ⋮ Increasing Stability in Acoustic and Elastic Inverse Source Problems ⋮ On the Inverse Source Problem with Boundary Data at Many Wave Numbers ⋮ Runge approximation and stability improvement for a partial data Calderón problem for the acoustic Helmholtz equation ⋮ Stability and the inverse gravimetry problem with minimal data ⋮ On the inverse gravimetry problem with minimal data

This page was built for publication: On increasing stability of the continuation for elliptic equations of second order without (pseudo)convexity assumptions