Publication Cover
Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 10
180
Views
2
CrossRef citations to date
0
Altmetric
Articles

Logarithmic viscoelastic wave equation in three-dimensional space

Pages 2210-2226 | Received 01 Jul 2019, Accepted 08 Oct 2019, Published online: 22 Oct 2019
 

ABSTRACT

The initial-boundary value problem of logarithmic viscoelastic wave equation in three space dimensions is studied. The existence of local and global solutions for this problem are proved by means of the contraction mapping criterion and potential well method. Meanwhile, the blow-up of solutions in the unstable set is also obtained.

2000MR Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the author.

Additional information

Funding

This research was supported by Natural Science Foundation of Zhejiang Province [grant number LY17A010009] and the National Natural Science Foundation of China [grant number 61273016].

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.