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arXiv · 0907.4812

Superstability and Finite Time Extinction For C_0-Semigroups

D. Creutz·M. Mazo Jr.·C. Preda
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Abstract

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.

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BibTeXRIS

D. Creutz, M. Mazo Jr., C. Preda. 2009-07-28. Superstability and Finite Time Extinction For C_0-Semigroups. https://arxiv.org/abs/0907.4812

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