General decay for a nonlinear pseudo-parabolic equation with viscoelastic term

This work is concerned with a multi-dimensional viscoelastic pseudo-parabolic equation with critical Sobolev exponent. First, with some suitable conditions, we prove that the weak solution exists globally. Next, we show that the stability of the system holds for a much larger class of kernels than t...

Full description

Saved in:

Bibliographic Details
Published in:	Demonstratio mathematica Vol. 55; no. 1; pp. 737 - 751
Main Authors:	Vu, Ngo Tran, Dung, Dao Bao, Dung, Huynh Thi Hoang
Format:	Journal Article
Language:	English
Published:	De Gruyter 21-10-2022
Subjects:	35B40 35K51 decay rate global existence pseudo-parabolic equation viscoelastic
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	This work is concerned with a multi-dimensional viscoelastic pseudo-parabolic equation with critical Sobolev exponent. First, with some suitable conditions, we prove that the weak solution exists globally. Next, we show that the stability of the system holds for a much larger class of kernels than the ones considered in previous literature. More precisely, we consider the kernel satisfying , where and are functions satisfying some specific properties.
ISSN:	2391-4661 2391-4661
DOI:	10.1515/dema-2022-0164