Dr Norayr Matevosyan

Career

  • 2008-date: Research Associate at University of Cambridge
  • 2005-2008: Assistant Professor at University of Vienna
  • 2003-2005: Postdoctoral position at the RICAM, Linz
  • 2000-2003: PhD. in Mathematics: Royal Institute of Technology, Stockholm
     

Research

Norayr is a member of the Department of Applied Mathematics and Theoretical Physics Applied Partial Differential Equations research group. His current research interests are Free Boundaries, Level set Methods, Harmonic Analysis, Image Processing, Level Set Methods, Fully non-linear elliptic equations
Problems arrising in the models of type II superconductivity.

Selected Publications

  • A level set based shape optimization method for an elliptic obstacle problem, preprint, with M. Burger
  • Tackling a two-phase problem with a lack of non-degeneracy in 2-D, preprint, with A. Petrosyan.
  • On a parabolic free boundary equation modeling price formation, M3 AS: Mathematical Models and Methods in Applied Sciences, to appear, with P.A. Markowich, J.-F. Pietschmann, and M.-T. Wolfram.
  • Regularity of a free boundary in parabolic problem without sign restriction, Indiana Univ. Math. J., to appear, with D.E. Apushkinskaya and N.N. Uraltseva.
  • On the tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem, Ark. Mat. 44 (2006), no. 1, 1—15, with J. Andersson, H. Mikayelyan
  • Tangential touch between free and fixed boundaries in a problem from superconductivity. Comm. Partial Differential Equations 30 (2005), no. 7-9, 1205--1216.
  • Behavior of the free boundary near contact points with the fixed boundary for nonlinear elliptic equations. Monatsh. Math. 142 (2004), no. 1-2, 17—25, with Markowich, Peter A.
  • Three spheres theorem for harmonic functions. J. Contemp. Math. Anal. 34 (1999), no. 3, 1--9 (2000); translated from Izv. Nats. Akad. Nauk Armenii Mat. 34 (1999), no. 3, 5--13 (2001), with Arakelian, N. U.