Non-global solutions for a class of fourth-order wave equations

Tarek Saanouni

doi:10.32513/tbilisi/1546570883

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Home > Journals > Tbilisi Math. J. > Volume 11 > Issue 4 > Article

September 2018 Non-global solutions for a class of fourth-order wave equations

Tarek Saanouni

Tbilisi Math. J. 11(4): 35-42 (September 2018). DOI: 10.32513/tbilisi/1546570883

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Abstract

Adopting the so-called concavity method, we establish a finite time blow-up result for a class of fourth-order non-linear wave equations with positive energy.

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Tarek Saanouni. "Non-global solutions for a class of fourth-order wave equations." Tbilisi Math. J. 11 (4) 35 - 42, September 2018. https://doi.org/10.32513/tbilisi/1546570883

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Received: 7 April 2018; Accepted: 24 June 2018; Published: September 2018

First available in Project Euclid: 4 January 2019

zbMATH: 07172286

MathSciNet: MR3954205

Digital Object Identifier: 10.32513/tbilisi/1546570883

Subjects:

Primary: 35L70

Secondary: 47F05

Keywords: Blow-up , energy , fourth-order wave equation

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Tbilisi Math. J.

Vol.11 • No. 4 • September 2018

Tbilisi Centre for Mathematical Sciences

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Tarek Saanouni "Non-global solutions for a class of fourth-order wave equations," Tbilisi Mathematical Journal, Tbilisi Math. J. 11(4), 35-42, (September 2018)

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