Rensselaer Polytechnic Institute

Lizabeth Rachele

Department of Mathematical Sciences
Rensselaer Polytechnic Institute
Troy, NY 12180

Email: rachel@rpi.edu
Office: Amos-Eaton 418
Phone: (518) 276-6412

Research

    
Research Interests:
    
Inverse Problems, Microlocal Analysis,
Elastodynamics, Partial Differential Equations
Vita:


Key Publications:
   
   
   
   
   
   
   
   
Recent Talks:
   
        pdf   ps   dvi  
   
  • Anna Mazzucato and Lizabeth Rachele, Uniqueness in the inverse problem for transversely isotropic elastic media with geodesic wave propagation.   In preparation.
  • Anna Mazzucato and Lizabeth Rachele, Partial uniqueness and obstruction to uniqueness in inverse problems for anisotropic elastic media, 37 pages. Submitted.   ps   dvi
  • Uniqueness of the density in an inverse problem for isotropic elastodynamics,
    Trans. Amer. Math. Soc. 355 (12), 2003, 4781 -- 4806.   pdf   ps   dvi
  • Uniqueness in inverse problems for elastic media with residual stress,
    Commun. Part. Diff. Eq. 28 (11-12), 2003, 1787 -- 1806.   ps   dvi
  • Boundary determination for an inverse problem in elastodynamics,
    Commun. Part. Diff. Eq. 25 (11-12), 2000, 1951 -- 1996.   ps   dvi
  • An inverse problem in elastodynamics: uniqueness of the wave speeds in the interior,  
    J. Differ. Equations 162 (2), 2000, 300 -- 325.
      ps   dvi

  • pdf   ps   Partial uniqueness and obstruction to uniqueness in inverse problems for anisotropic elastic media,   RPI, Opening Conference for the Center for Inverse Problems, April 7, 2004.
  • pdf   ps   The ray transform and inverse problems for elastic media,
    Session on Tomography and Integral Geometry, AMS Sectional Meeting, Lawrenceville, NJ, April 17, 2004.

Elasticity Pages

Developed by Stan Bak, Philip Bloom, Paul Zaczkiewicz, Jacinda Moore, Dan Renzi, Alex Glasman,and Liz Rachele.

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