%0 Journal Article
%T Superstability and Finite Time Extinction For C_0-Semigroups
%A D. Creutz
%A M. Mazo Jr.
%A C. Preda
%J Mathematics
%D 2009
%I arXiv
%X A new approach to superstability and finite time extinction of strongly continuous semigroups is presented, unifying known results and providing new criteria for these conditions to hold analogous to the well-known Pazy condition for stability. That finite time extinction implies superstability which is in turn equivalent to several (both known and new) conditions follow from this new approach in a consistent fashion. Examples showing that the converse statements fail are constructed, in particular, an answer to a question of Balakrishnan on superstable systems not exhibiting finite time extinction.
%U http://arxiv.org/abs/0907.4812v4