Institutional Research Information Service
UCL Logo
Please report any queries concerning the funding data grouped in the sections named "Externally Awarded" or "Internally Disbursed" (shown on the profile page) to your Research Finance Administrator. Your can find your Research Finance Administrator at https://www.ucl.ac.uk/finance/research/rs-contacts.php by entering your department
Please report any queries concerning the student data shown on the profile page to:

Email: portico-services@ucl.ac.uk

Help Desk: http://www.ucl.ac.uk/ras/portico/helpdesk
 More search options
Prof Yaroslav Kurylev
Prof Yaroslav Kurylev profile picture
  • Emeritus Professor
  • Dept of Mathematics
  • Faculty of Maths & Physical Sciences
Research Groups
Research Summary

My research area are multidimemsional inverse problems, related topics of analysis and differential geometry, and applications.

Inverse problems tend to identify properties of the model, like coeeficients of the differential equations describing the model, boundaries between subregions within the domaoin of interest which are occupied by different materials, sometimes the shape of the domain itself, etc, when the direct measurements are impossible. This happens in numerous applications: from geophysics to medical imaging, from cosmology to financial market. However, measuring, outside the domain, parameters of various fields penetrating the domain and intercting with material there according to the governing equations of the model, we obtain information, inverse data, which we use to identify the properties of interest.

Depending on whether we deal with a problem in the frequency- or time-domain, these measure data typically correspond to some global characteristics of the model, e.g. spectral properties of the model, or metric proprties, e.g. the travel time between different points on the boundary of the domain. These bring inverse problems into the realm of analysis (spectral theory, PDE-control, etc) and/or differential geometry (metric geometry, comparison geometry, etc). It is not unusual for inverse problems that the type of questions to be answered
if different from the classical ones,provoking new research in these fields.

Academic Background
1979   Doctor of Philosophy Russian Academy of Sciences
1976   University Diploma with Honours Leningrad State University
Some IRIS profile information is sourced from HR data as explained in our FAQ. Please report any queries concerning HR data shown on this page to hr-services@ucl.ac.uk.
University College London - Gower Street - London - WC1E 6BT Tel:+44 (0)20 7679 2000

© UCL 1999–2011

Search by