Yakar Kannai
The Erica and Ludwig Jesselson Professor of Theoretical Mathematics
I am studying mathematical equations
that govern changes in both time and location, namely partial differential equations.
The equations I examine are the wave equations, and I apply them for studying
other equations, for example the so-called parabolic equations, including cases
where the operators may be degenerate (e.g. the Heisenberg Laplacean). The singularities
propagate according to a different metric than the usual Riemannian one. Another
area I am interested in is mathematical economics, especially in the structure
of utility functions and in applying topological methods. Yet another direction
of my research is concerned with medical statistics, where the relations between
incidences of various respiratory diseases in boys and girls, and with prevailing
meteorological conditions, are examined.
Recent Publications
- [with S. Baruch] Inferior Goods, Giffen Goods, and Shochu, in Economics Essays - A Festschrift for Werner Hildenbrand, G. Debreu, W. Neuefeind and W. Trockel (Eds.), Springer, 2001, 9-17.
- [with P. Greiner and D. Holcman] Wave kernels related to second order operators. Duke Math. J. 114 (2002) 329-387.
- Local Properties of Maps of the Ball. Abstract and Applied Analysis 2003 (2) (2003) 75-81.