High‐frequency stability estimates for a partial data inverse problem

DOI10.1002/MMA.7874arXiv2106.11153MaRDI QIDQ6179811

Anupam Pal Choudhury, Venkateswaran P. Krishnan

Publication date: 18 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.11153

zbMATH Keywords

inverse problemsSchrödinger equationincreasing stabilitystability estimates

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

• Unnamed Item
• Increasing stability for the inverse problem of the Schrödinger equation with the partial Cauchy data
• Stability estimates for the Radon transform with restricted data and applications
• A global uniqueness theorem for an inverse boundary value problem
• Increasing stability for the Schrödinger potential from the Dirichlet-to Neumann map
• Stability estimates for the Calderón problem with partial data
• On uniqueness in the inverse conductivity problem with local data
• Runge approximation and stability improvement for a partial data Calderón problem for the acoustic Helmholtz equation
• Stability estimates in a partial data inverse boundary value problem for biharmonic operators at high frequencies
• Increasing stability for determining the potential in the Schrödinger equation with attenuation from the Dirichlet-to-Neumann map
• Stability estimates for partial data inverse problems for Schrödinger operators in the high frequency limit
• The Calderón problem with partial data
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• Exponential instability in an inverse problem for the Schrödinger equation
• Inverse Boundary Value Problem For The Helmholtz Equation: Quantitative Conditional Lipschitz Stability Estimates
• Effectivized Hölder-logarithmic stability estimates for the Gel’fand inverse problem
• Optimal stability estimate of the inverse boundary value problem by partial measurements
• Increased stability in the continuation of solutions to the Helmholtz equation
• Stability estimates for the inverse boundary value problem by partial Cauchy data
• The stability for the Cauchy problem for elliptic equations
• Examples of exponential instability for inverse inclusion and scattering problems
• RECOVERING A POTENTIAL FROM PARTIAL CAUCHY DATA
• Increasing stability for the inverse problem for the Schrödinger equation
• Inverse Problems in the Theory of Small Oscillations
• Exponential instability in the fractional Calderón problem
• A continuous dependence result in the analytic continuation problem
• Stable determination of conductivity by boundary measurements
• Increasing stability in an inverse problem for the acoustic equation
• Instability in the Gel'fand inverse problem at high energies
• Inverse Problems and Applications
• Increasing Stability for the Conductivity and Attenuation Coefficients
• Exponential instability in the Gel'fand inverse problem on the energy intervals
• Energy and regularity dependent stability estimates for the Gel'fand inverse problem in multidimensions

This page was built for publication: High‐frequency stability estimates for a partial data inverse problem