Dr Leo Tzou

F07 - Carslaw Building
The University of Sydney

Selected grants

2014

  • Inverse Problems For Partial Differential Equations - A Geometric Analysis Perspective; Tzou L; Australian Research Council (ARC)/Future Fellowships (FT).

Selected publications

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Book Chapters

  • Guillarmou, C., Tzou, L. (2011). Survey on Calderon inverse problem in dimension 2. In Gunther Uhlmann (Eds.), Inverse Problems and Applications: Inside Out II, (pp. 119-166). USA: Cambridge University Press.

Journals

  • Chung, F., Ola, P., Salo, M., Tzou, L. (2016). Inverse problems with partial data for Maxwell's equations. Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, Submitted, 1-22.
  • Pohjola, V., Tzou, L. (2016). Inverse scattering for the magnetic Schrodinger operator on surfaces with Euclidean ends. Communications in Mathematical Physics, Submitted, 1-42.
  • Chung, F., Salo, M., Tzou, L. (2016). Partial data inverse problems for the Hodge Laplacian. Analysis and PDE, Submitted, 1-55.
  • Anderson, J., Tzou, L. (2016). Stability for a magnetic Schrodinger operator on a Riemann surface with boundary. Inverse Problems, Submitted, 1-30.
  • Tzou, L. (2016). The reflection principle and Calderon problem with partial data on surfaces. Mathematische Annalen, Submitted, 1-35.
  • Lassas, M., Salo, M., Tzou, L. (2015). Inverse problems and invisibility cloaking for FEM models and resistor networks. Mathematical Models and Methods in Applied Sciences, 25(2), 309-342. [More Information]
  • Albin, P., Guillarmou, C., Tzou, L., Uhlmann, G. (2013). Inverse Boundary Problems for Systems in Two Dimensions. Annales Henri Poincare, 14(6), 1551-1571. [More Information]
  • Guillarmou, C., Tzou, L. (2011). Calderón inverse problem with partial data on Riemann surfaces. Duke Mathematical Journal, 158(1), 83-120. [More Information]
  • Guillarmou, C., Tzou, L. (2011). Identification of a connection from Cauchy data space on a Riemann surface with boundary. Geometric and Functional Analysis, 21(2), 393-418. [More Information]
  • Guillarmou, C., Salo, M., Tzou, L. (2011). Inverse Scattering at Fixed Energy on Surfaces with Euclidean Ends. Communications in Mathematical Physics, 303(3), 761-784. [More Information]
  • Salo, M., Tzou, L. (2010). Inverse problems with partial data for a Dirac system: A Carleman estimate approach. Advances in Mathematics, 225(1), 487-513. [More Information]
  • Salo, M., Tzou, L. (2009). Carleman estimates and inverse problems for Dirac operators. Mathematische Annalen, 344(1), 161-184. [More Information]
  • Ghoussoub, N., Tzou, L. (2008). Anti-selfdual Lagrangians II: unbounded non self-adjoint operators and evolution equations. Annali di Matematica Pura ed Applicata, 187(2), 323-352. [More Information]
  • Tzou, L. (2008). Stability Estimates for Coefficients of Magnetic Schrödinger Equation from Full and Partial Boundary Measurements. Communications in Partial Differential Equations, 33(11), 1911-1952. [More Information]
  • Ghoussoub, N., Tzou, L. (2006). Iterations of anti-selfdual Lagrangians and applications to Hamiltonian systems and multiparameter gradient flows. Calculus of Variations and Partial Differential Equations, 26(4), 511-534. [More Information]
  • Ghoussoub, N., Tzou, L. (2004). A variational principle for gradient flows. Mathematische Annalen, 330(3), 519-549. [More Information]

Conferences

  • Guillarmou, C., Tzou, L. (2010). Calderon inverse problem on Riemann surfaces. AMSI-ANU Workshop on Spectral Theory and Harmonic Analysis, Canberra: Centre for Mathematics and its Applications Mathematical Sciences Institute The Australian National University.

2016

  • Chung, F., Ola, P., Salo, M., Tzou, L. (2016). Inverse problems with partial data for Maxwell's equations. Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, Submitted, 1-22.
  • Pohjola, V., Tzou, L. (2016). Inverse scattering for the magnetic Schrodinger operator on surfaces with Euclidean ends. Communications in Mathematical Physics, Submitted, 1-42.
  • Chung, F., Salo, M., Tzou, L. (2016). Partial data inverse problems for the Hodge Laplacian. Analysis and PDE, Submitted, 1-55.
  • Anderson, J., Tzou, L. (2016). Stability for a magnetic Schrodinger operator on a Riemann surface with boundary. Inverse Problems, Submitted, 1-30.
  • Tzou, L. (2016). The reflection principle and Calderon problem with partial data on surfaces. Mathematische Annalen, Submitted, 1-35.

2015

  • Lassas, M., Salo, M., Tzou, L. (2015). Inverse problems and invisibility cloaking for FEM models and resistor networks. Mathematical Models and Methods in Applied Sciences, 25(2), 309-342. [More Information]

2013

  • Albin, P., Guillarmou, C., Tzou, L., Uhlmann, G. (2013). Inverse Boundary Problems for Systems in Two Dimensions. Annales Henri Poincare, 14(6), 1551-1571. [More Information]

2011

  • Guillarmou, C., Tzou, L. (2011). Calderón inverse problem with partial data on Riemann surfaces. Duke Mathematical Journal, 158(1), 83-120. [More Information]
  • Guillarmou, C., Tzou, L. (2011). Identification of a connection from Cauchy data space on a Riemann surface with boundary. Geometric and Functional Analysis, 21(2), 393-418. [More Information]
  • Guillarmou, C., Salo, M., Tzou, L. (2011). Inverse Scattering at Fixed Energy on Surfaces with Euclidean Ends. Communications in Mathematical Physics, 303(3), 761-784. [More Information]
  • Guillarmou, C., Tzou, L. (2011). Survey on Calderon inverse problem in dimension 2. In Gunther Uhlmann (Eds.), Inverse Problems and Applications: Inside Out II, (pp. 119-166). USA: Cambridge University Press.

2010

  • Guillarmou, C., Tzou, L. (2010). Calderon inverse problem on Riemann surfaces. AMSI-ANU Workshop on Spectral Theory and Harmonic Analysis, Canberra: Centre for Mathematics and its Applications Mathematical Sciences Institute The Australian National University.
  • Salo, M., Tzou, L. (2010). Inverse problems with partial data for a Dirac system: A Carleman estimate approach. Advances in Mathematics, 225(1), 487-513. [More Information]

2009

  • Salo, M., Tzou, L. (2009). Carleman estimates and inverse problems for Dirac operators. Mathematische Annalen, 344(1), 161-184. [More Information]

2008

  • Ghoussoub, N., Tzou, L. (2008). Anti-selfdual Lagrangians II: unbounded non self-adjoint operators and evolution equations. Annali di Matematica Pura ed Applicata, 187(2), 323-352. [More Information]
  • Tzou, L. (2008). Stability Estimates for Coefficients of Magnetic Schrödinger Equation from Full and Partial Boundary Measurements. Communications in Partial Differential Equations, 33(11), 1911-1952. [More Information]

2006

  • Ghoussoub, N., Tzou, L. (2006). Iterations of anti-selfdual Lagrangians and applications to Hamiltonian systems and multiparameter gradient flows. Calculus of Variations and Partial Differential Equations, 26(4), 511-534. [More Information]

2004

  • Ghoussoub, N., Tzou, L. (2004). A variational principle for gradient flows. Mathematische Annalen, 330(3), 519-549. [More Information]

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