Research

Publications and Preprints

1. Recover all coefficients in second-order hyperbolic equations from finite sets of boundary measurements (with S. Scruggs and A. Pierrottet), Inverse Problems, 39 (2023), 105009.

2. Recovering density for the Mindlin-Timoshenko system by means of a single boundary measurement (with J.Kurz and P.Pei), Applicable Analysis, https://doi.org/10.1080/00036811.2021.1994956, 2022.

3. Source reconstruction ans stability via boundary control of abstract viscoelastic systems (with W. Green), Applicable Analysis, https://doi.org/10.1080/00036811.2021.1877682, 2021.

4. Boundary observability for the viscoelastic wave equation (with W. Green and M. Mitkovski), SIAM Journal on Control and Optimization, SIAM Journal on Control and Optimization, 57 (2019), 1629--1645. 

5. An inverse boundary value problem for the magnetic Schrodinger operator with a bounded magnetic potential in a slab (with Y. Yang), Applied Mathematics & Optimization, https://doi.org/10.1007/s00245-018-9537-2, 2018.

6. A Lipschitz stable reconstruction formula for the inverse problem for the wave equation (with L. Oksanen), Transactions of the American Mathematical Society, 368 (2016), 319-335.

7. An inverse problem for a third order PDE arising in high-intensity ultrasound: global uniqueness and stability by one boundary measurement (with R. Triggiani), Journal of Inverse and Ill-posed Problems, 21 (2013), 825-869.

8. Recovering damping and potential coefficients for an inverse non-homogeneous second-order hyperbolic problem via a localized Neumann boundary trace (with R. Triggiani), Discrete and Continuous Dynamic Systems A, 33 (2013), 5217-5252.

9. Recovery of the sound speed and initial displacement for the wave equation by means of a single Dirichlet boundary measurement,” Evolution Equations and Control Theory, 2 (2013), 355-364.

10. Global uniqueness and stability in determining the damping coefficient of an inverse hyperbolic problem with non-homogeneous Dirichlet B.C. through an additional localized Neumann boundary trace (with R. Triggiani), Applicable Analysis, 91 (2012), 1551-1581.

11. Determining damping and potential coefficients of an inverse problem for a system of two coupled hyperbolic equations. Part I: global uniqueness (with R. Triggiani), Discrete Contin. Dyn. Syst. 2011, suppl., 1001–1014.

12. Recovering of damping coefficients for a system of coupled wave equations with Neumann B.C.: uniqueness and stability (with R. Triggiani), Chinese Annals of Mathematics Series B, 32 (2011), 669-698.

13. Global uniqueness in determining electric potentials for a system of strongly coupled Schrodinger equations with magnetic potential terms (with R. Triggiani), Journal of Inverse and Ill-posed Problems, 19 (2011), 223-254.

14. Global uniqueness and stability in determining the damping coefficient of an inverse hyperbolic problem with non-homogeneous Neumann B.C. through an additional Dirichlet boundary trace (with R. Triggiani), SIAM Journal on Mathematical Analysis, 43 (2011), 1631-1666.

15. Inverse problem for a structural acoustic interaction, Nonlinear Analysis: Theory, Methods and Applications, 74 (2011) 2647-2662.

16. Global uniqueness and stability in determining the damping and potential coefficients of an inverse hyperbolic problem (with R. Triggiani), Nonlinear Analysis: Real World Applications,12 (2011), 1562-1590.

Book Chapters

1. Inverse problem for a linearized Jordan-Moore-Gibson-Thompson equation (with R. Triggiani), New Prospects in Direct, Inverse and Control Problems for Evolution Equations, Springer, 2014.

2. Boundary Control and Boundary Inverse Theory for Non-Homogeneous Second-Order Hyperbolic Equations: A Common Carleman Estimates Approach (with R. Triggiani), HCDTE Lecture Notes, AIMS Book Series on Applied Mathematics Vol. 6.