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December 2020 Decay and blow up at infinite time of solutions for a logarithmic Petrovsky equation
Erhan Pişkin, Zeynep Çalişir
Tbilisi Math. J. 13(4): 113-127 (December 2020). DOI: 10.32513/tbilisi/1608606053

Abstract

In this work, we consider a logarithmic Petrovsky equation with strong damping with initial and boundary conditions in a bounded domain. Under suitable conditions, we prove decay of solutions. Also, we establish the blow up at infinite time of solutions.

Citation

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Erhan Pişkin. Zeynep Çalişir. "Decay and blow up at infinite time of solutions for a logarithmic Petrovsky equation." Tbilisi Math. J. 13 (4) 113 - 127, December 2020. https://doi.org/10.32513/tbilisi/1608606053

Information

Received: 21 September 2019; Accepted: 5 October 2020; Published: December 2020
First available in Project Euclid: 22 December 2020

MathSciNet: MR4194232
Digital Object Identifier: 10.32513/tbilisi/1608606053

Subjects:
Primary: 35B35
Secondary: 35L55

Rights: Copyright © 2020 Tbilisi Centre for Mathematical Sciences

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Vol.13 • No. 4 • December 2020
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