ON THE LOCATION OF THE LEAST POINT OF THE ESSENTIAL SPECTRUM


D HINTON

hinton@math.utk.edu

Mathematics Department,
University of Tennessee,
Knoxville,
TN 37996-1300, USA






A new criterion for the least point of the essential spectrum is given for a one term second order differential operator. This criterion is sharper than the Friedrich's criterion. Application is given to the singular eigenvalue problem associated with the buckling of a column under self-weight subjected to the constraint of fixed volume. Examples are given which illustrate the sharpness of the bounds for the least point of the essential spectrum.


EPSRC Gregynog Workshop, 21-26 July 2002

Gregynog Abstracts