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Applicable Analysis
An International Journal
Volume 99, 2020 - Issue 3
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Articles

Local existence and blow up of solutions to a logarithmic nonlinear wave equation with delay

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Pages 530-547 | Received 22 Feb 2018, Accepted 20 Jul 2018, Published online: 17 Aug 2018
 

ABSTRACT

This paper is concerned with a problem of a logarithmic nonlinear wave equation with delay. The local existence result has been established using the semigroup theory. In addition, for negative initial energy, a finite-time blow-up result is proved.

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Acknowledgements

The authors would like to express their sincere thanks to King Fahd University of Petroleum and Minerals for its support.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work has been funded by King Fahd University of Petroleum and Minerals (KFUPM) under Project # IN151006.

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