Stability estimates for an inverse problem for Schrödinger operators at high frequencies from arbitrary partial boundary measurements

X Zhao, G Yuan - Inverse Problems, 2023 - iopscience.iop.org
Stability estimates for an inverse problem for Schrödinger operators at high frequencies from
arbitrary partial boundary measurements - IOPscience This site uses cookies. By continuing to …

Increasing stability of the inverse boundary value problem for the Schrödinger equation

V Isakov, S Nagayasu, G Uhlmann, JN Wang - Contemp. Math, 2014 - books.google.com
In this work we study the phenomenon of increasing stability in the inverse boundary value
problem for the Schrödinger equation. This problem was previously considered by Isakov in …

Increasing stability for determining the potential in the Schr\" odinger equation with attenuation from the Dirichlet-to-Neumann map

V Isakov, JN Wang - arXiv preprint arXiv:1309.2840, 2013 - arxiv.org
We derive some bounds which can be viewed as an evidence of increasing stability in the
problem of recovering the potential coefficient in the Schr\" odinger equation from the …

New global stability estimates for monochromatic inverse acoustic scattering

MI Isaev, RG Novikov - SIAM Journal on Mathematical Analysis, 2013 - SIAM
We give new global stability estimates for monochromatic inverse acoustic scattering. These
estimates essentially improve estimates of [P. Hähner, T. Hohage, SIAM J. Math. Anal., 33 …

Optimality of increasing stability for an inverse boundary value problem

PZ Kow, G Uhlmann, JN Wang - SIAM Journal on Mathematical Analysis, 2021 - SIAM
In this work we study the optimality of increasing stability of the inverse boundary value
problem (IBVP) for the Schrödinger equation. The rigorous justification of increasing …

Runge Approximation and Stability Improvement for a Partial Data Calder\'on Problem for the Acoustic Helmholtz Equation

MÁ García-Ferrero, A Rüland, W Zatoń - arXiv preprint arXiv:2101.04089, 2021 - arxiv.org
In this article, we discuss quantitative Runge approximation properties for the acoustic
Helmholtz equation and prove stability improvement results in the high frequency limit for an …

Increasing stability for the inverse problem for the Schrödinger equation

A Pal Choudhury, H Heck - Mathematical Methods in the …, 2018 - Wiley Online Library
In this article, we study the increasing stability property for the determination of the potential
in the Schrödinger equation from partial data. We shall assume that the inaccessible part of …

Stable determination of a scattered wave from its far-field pattern: the high frequency asymptotics

L Rondi, M Sini - Archive for Rational Mechanics and Analysis, 2015 - Springer
We deal with the stability issue for the determination of outgoing time-harmonic acoustic
waves from their far-field patterns. We are especially interested in keeping as explicit as …

Increasing Stability in an Inverse Boundary Value Problem—Bayesian Viewpoint

PZ Kow, JN Wang - Taiwanese Journal of Mathematics, 2025 - projecteuclid.org
Motivated by the recent work of Abraham and Nickl on the statistical Calderón problem [2],
we revisit the increasing stability phenomenon in the inverse boundary value problem for the …

INCREASING STABILITY FOR THE INVERSE PROBLEM OF THE SCHRÖDINGER EQUATION WITH THE PARTIAL CAUCHY DATA.

L Liang - Inverse Problems & Imaging, 2015 - search.ebscohost.com
To show increasing stability in the problem of recovering potential c∈ C¹ (Ω) in the
Schrödinger equation with the given partial Cauchy data when energy frequency k is …