Decay and blow up at infinite time of solutions for a logarithmic Petrovsky equation

Erhan Pişkin; Zeynep Çalişir

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

Download Citation

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

Keywords: blow up at infinite time , energy decay , logarithmic nonlinearity , Petrovsky equation

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS