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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 3
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Original Articles

Blow-up for a non-degenerate non-local quasilinear wave equation on IRN

Pages 419-433 | Received 10 Feb 2009, Accepted 04 Jun 2009, Published online: 25 Nov 2009
 

Abstract

We study on the global existence, decay properties and blow-up results of the solution for the following non-degenerate nonlinear wave equation

where we have b ≥ 0, p ≥ 0, γ ≥ 1, δ > 0, φ(x) > 0 for all x and a > 0.

AMS Subject Classifications:

Acknowledgements

This work was co-funded by the European Social Fund (75%) and National Resources (25%) – Operational Program for Educational and Vocational Training II (EPEAEK II) and particularly by the PYTHAGORAS Program No. 68/831.

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