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Shitao Liu

Position:
Assistant Professor
Education:
PhD in Mathematics from University of Virginia, 2011
BS in Mathematics from Nankai University, 2006
Professional Research Interests
Inverse problems and control theory for partial differential equations.
Professional Memberships
American Mathematical Society, Society for Industrial and Applied Mathematics, Mathematical Association of America, Finnish Inverse Problems Society.
Other Professional Activities
Postdoctoral Researcher, University of Helsinki, June 2011--June 2013
Selected Publications
  • An inverse problem for a third order PDE arising in high-intensity ultrasound:  global uniqueness and stability by one boundary measurement (with R. Triggiani), J. Inverse Ill-Posed Probl., accepted.
  • A Lipschitz stable reconstruction formula for the inverse problem for the wave equation (with L. Oksanen), submitted.
  • Recovery of the spund speed and initial displacement for the wave equation by means of a single Dirichlet boundary measurement, Evolution Equations and Control Theory2 (2013), no.2, 355--364.
  • 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), Appl. Anal.,91 (2012), no.8, 1551--1581.
  • Recovering of damping coefficients for a system of coupled wave equations with Neumann B.C.: uniqueness and stability (with R. Triggiani), Chin. Ann. Math. Ser. B32 (2011), no.5, 669--698.
  • Global uniqueness in determining electric potentials for a system of strongly coupled Schr\"{o}dinger equations with magnetic potential terms (with R. Triggiani), J. Inverse Ill-Posed Probl.19 (2011), no.2, 223-254.
  • Inverse problem for a structural acoustic interaction, Nonlinear Anal.74 (2011), no.7, 2647--2662.
  • 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 J. Math Anal.43(2011), no.4, 1631--1666.
Links

office: (864) 656-4477
fax: (864) 656-5230
email: liul@clemson.edu
Last Updated: 10/2/13
Shitao Liu
Mathematical Sciences
Clemson University
Martin O-228
Clemson, SC 29634-0975
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