Affiliation:
1. Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Sofia, Bulgaria
Abstract
A revised version of the concavity method of Levine, based on a new ordinary
differential inequality, is proposed. Necessary and sufficient condition for
nonexistence of global solutions of the inequality is proved. As an
application, finite time blow up of the solution to Klein-Gordon equation
with arbitrary positive initial energy is obtained under very general
structural conditions.
Publisher
National Library of Serbia
Cited by
6 articles.
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