Nonexistence of global solutions of abstract wave equations with high energies

Abstract We consider an undamped second order in time evolution equation. For any positive value of the initial energy, we give sufficient conditions to conclude nonexistence of global solutions. The analysis is based on a differential inequality. The success of our result is based in a detailed ana...

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Bibliographic Details
Main Author: Jorge A Esquivel-Avila
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1546-1