Mathematics 606, Inverse Problems for PDE's

Department of Mathematics,  Grad courses,  University of British Columbia

Instructors

Nassif Ghoussoub  E-mail    nassif@math.ubc.ca   Office  PIMS  Phone  822-3992 Ghoussoub's home page

Stephen Gustafson  E-mail    gustaf@math.ubc.ca   Office  Math 115  Phone  822-3138 Gustafson's home page

Note: PDF files can be read with Acrobat Reader, which is available for free from Adobe.

• Course Outline [ pdf ]

Notes

• Introduction
  • X-ray Tomography [ pdf ]
  • Inverse Scattering [ pdf ]
  • Inverse Spectral Problems [ pdf ]
  • Dirichlet to Neumann Problems [ pdf ]
• Derivation of the Wave Equation [ pdf ]
• Haar Measure [ pdf ]
• Poisson's Equation [ pdf ]
• Easy Perturbation Theory [ pdf ]
• The Graph Laplacian (incomplete) [ pdf ]
• Sobolev Background [ pdf ]

Links

• Steve Zelditch's MSRI talk on inverse spectral problems for analytic plane domains.
• Charles Epstein's book, Mathematics of Medical Imaging.
• James Morrow's REU2002 Program on Inverse Problems website.