On convexity of the functional for inverse problems of hyperbolic equations

DOI10.1016/j.aml.2019.02.018OpenAlexW2918271099WikidataQ128301488 ScholiaQ128301488MaRDI QIDQ1739499

Yibin Ding, Xiang Xu

Publication date: 26 April 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.02.018

zbMATH Keywords

functionalinverse problemconvexityhyperbolic equations

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Initial value problems for second-order hyperbolic equations (35L15) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Partial differential equations (35-XX)

Related Items

Unnamed Item

Cites Work

• Unnamed Item
• Inverse source problem for the hyperbolic equation with a time-dependent principal part
• Globally strongly convex cost functional for a coefficient inverse problem
• Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients.
• Inverse acoustic obstacle scattering problems using multifrequency measurements
• A posteriori error estimates of recovery type for distributed convex optimal control problems
• Global Lipschitz stability in an inverse hyperbolic problem by interior observations
• GLOBAL UNIQUENESS AND STABILITY IN DETERMINING COEFFICIENTS OF WAVE EQUATIONS
• Globally strictly convex cost functional for an inverse parabolic problem
• Numerical Reconstruction of Electromagnetic Inclusions in Three Dimensions
• Imaging of Local Surface Displacement on an Infinite Ground Plane: The Multiple Frequency Case
• Inverse scattering problems with multi-frequencies
• Inverse Source Problem for a Double Hyperbolic Equation Describing the Three-Dimensional Time Cone Model
• Global Convexity in a Three-Dimensional Inverse Acoustic Problem
• On inverse problems for piezoelectric equation: stability analysis and numerical method
• Globally Strictly Convex Cost Functional for a 1-D Inverse Medium Scattering Problem with Experimental Data
• An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
• Global convexity in a single-source 3-D inverse scattering problem
• An improved operator expansion algorithm for direct and inverse scattering computations
• Recovering Dielectric Constants of Explosives via a Globally Strictly Convex Cost Functional