Abstract

We study the dynamic instability of singular distributional steady-states of a semilinear heat equation with critical Sobolev growth in Rⁿ. For a wide class of equilibria, including the ones corresponding to singular Yamabe metrics on Sⁿ we prove nonuniqueness and instability results for the Cauchy problem.

FRIDAY, March 23, 2007
Time:4:30 P.M.
Location: PPB 00