Global stability for a coupled physics inverse problem

Abstract

We prove a global Hölder stability estimate for a hybrid inverse problem combining microwave imaging and ultrasound. The principal features of this result are that we assume to have access to measurements associated to a single, arbitrary and possibly sign changing solution of a Schrödinger equation, and that zero is allowed to be an eigenvalue of the equation.

9 pages

References in corpus (6)

• The stability for the Cauchy problem for elliptic equations
• Stabilizing Inverse Problems by Internal Data
• Stability of Coupled-Physics Inverse Problems with internal measurements
• On doubling inequalities for elliptic systems
• Conditional Stability for Single Interior Measurement
• On Multiple Frequency Power Density Measurements

Cited by in corpus (8)

• Critical Points for Elliptic Equations with Prescribed Boundary Conditions
• On multiple frequency power density measurements II. The full Maxwell's equations
• New Stability Estimates for the Inverse Medium Problem with Internal Data
• Enforcing local non-zero constraints in PDEs and applications to hybrid imaging problems
• Extraction of the index of refraction by embedding multiple and close small inclusions
• Global stability for an inverse problem in soil-structure interaction
• Stable determination of a Lamé coefficient by one internal measurement of displacement
• Non-zero constraints in elliptic PDE with random boundary values and applications to hybrid inverse problems