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March 2022 Existence and decay of solutions for a parabolic type Kirchhoff equation with logarithmic nonlinearity
Erhan Pişkin, Tuğrul Cömert
Adv. Studies: Euro-Tbilisi Math. J. 15(1): 111-128 (March 2022). DOI: 10.32513/asetmj/19322008208

Abstract

This paper deals with the parabolic type Kirchhoff equation with logarithmic nonlinearity in a bounded domain. Firstly, we prove the local and global existence of solutions. Later, we investigate the decay of solutions. This improves and extend some previous studies.

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The current pdf replaces the original pdf file, first available on 5 April 2022. The new version corrects the DOI prefix to read 10.32513.

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Erhan Pişkin. Tuğrul Cömert. "Existence and decay of solutions for a parabolic type Kirchhoff equation with logarithmic nonlinearity." Adv. Studies: Euro-Tbilisi Math. J. 15 (1) 111 - 128, March 2022. https://doi.org/10.32513/asetmj/19322008208

Information

Received: 12 October 2020; Accepted: 25 November 2021; Published: March 2022
First available in Project Euclid: 5 April 2022

Digital Object Identifier: 10.32513/asetmj/19322008208

Subjects:
Primary: 35B40
Secondary: 35D30 , 35K60

Keywords: decay , existence , logarithmic nonlinearity

Rights: Copyright © 2022 Tbilisi Centre for Mathematical Sciences

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Vol.15 • No. 1 • March 2022
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