Browsing Mathematics, Department of by Subject "eigenfunction"
Now showing items 1-3 of 3
(Princeton University and Institute for Advanced Study, 1999-01)We construct a counterexample to the "hot spots" conjecture; there exists a bounded connected planar domain (with two holes) such that the second eigenvalue of the Laplacian in that domain with Neumann boundary conditions ...
(Springer-Verlag GmbH, 2000-11)We consider a model with a large number N of particles which move according to independent Brownian motions. A particle which leaves a domain D is killed; at the same time, a different particle splits into two particles. ...
(Institute of Mathematical Statistics, 2002-06-03)We present a new method for locating the nodal line of the second eigenfunction for the Neumann problem in a planar domain.