Mostafa Fazly

University of British Columbia
Scientific, Seminar
Diff. Geom, Math. Phys., PDE: Mostafa Fazly
January 8, 2013
University of British Columbia
De Giorgi in 1978 conjectured that bounded and monotone solutions of the Allen-Cahn equation must be one-dimensional up to dimension eight. This conjecture is known to be true for N=3 and with extra (natural) assumptions for 4=8. We state a...
Scientific, Seminar
PIMS / AMI Seminar: Mostafa Fazly
November 22, 2013
University of Alberta
De Giorgi stated his conjecture for bounded monotone solutions of the Allen-Cahn equation in 1978. Even after 35 years this conjecture plays a fundamental role in the theory of nonlinear elliptic PDEs. This celebrated conjecture lies in the...