Shitao Liu, Ph.D.

Affiliations: 
2011 University of Virginia, Charlottesville, VA 
Area:
Mathematics, Applied Mathematics
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"Shitao Liu"

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Roberto Triggiani grad student 2011 UVA
 (Inverse Problems for Single and Strongly Coupled PDEs via Boundary Measurements: a Carleman Estimates Approach.)
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Publications

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Liu S, Yang Y. (2018) Determine a Magnetic Schrödinger Operator with a Bounded Magnetic Potential from Partial Data in a Slab Applied Mathematics and Optimization. 1-20
Liu S, Oksanen L. (2016) A lipschitz stable reconstruction formula for the inverse problem for the wave equation Transactions of the American Mathematical Society. 368: 319-335
Liu S, Triggiani R. (2013) Recovering damping and potential coefficients for an inverse non-homogeneous second-order hyperbolic problem via a localized neumann boundary trace Discrete and Continuous Dynamical Systems- Series A. 33: 5217-5252
Liu S, Triggiani R. (2013) An inverse problem for a third order PDE arising in high-intensity ultrasound: Global uniqueness and stability by one boundary measurement Journal of Inverse and Ill-Posed Problems. 21: 825-869
Liu S, Triggiani R. (2012) 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 Applicable Analysis. 91: 1551-1581
Liu S, Triggiani R. (2011) Global uniqueness in determining electric potentials for a system of strongly coupled Schrödinger equations with magnetic potential terms Journal of Inverse and Ill-Posed Problems. 19: 223-254
Liu S, Triggiani R. (2011) Global uniqueness and stability in determining the damping coefficient of an inverse hyperbolic problem with nonhomogeneous Neumann B.C. through an additional Dirichlet boundary trace Siam Journal On Mathematical Analysis. 43: 1631-1666
Liu S, Triggiani R. (2011) Global uniqueness and stability in determining the damping and potential coefficients of an inverse hyperbolic problem Nonlinear Analysis: Real World Applications. 12: 1562-1590
Liu S, Triggiani R. (2011) Recovering of damping coefficients for a system of coupled wave equations with Neumann boundary conditions: Uniqueness and stability Chinese Annals of Mathematics. Series B. 32: 669-698
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