Attractors for the strongly damped wave equation with p‐Laplacian

This paper is concerned with the initial‐boundary value problem for one‐dimensional strongly damped wave equation involving p‐Laplacian. For p > 2 , we establish the existence of weak local attractors for this problem in W01,p(0,1)×L2(0,1). Under restriction 2 

Saved in:
Bibliographic Details
Published in:Mathematical methods in the applied sciences 2017-08, Vol.40 (12), p.4436-4447
Main Authors: Khanmamedov, Azer, Sen, Zehra
Format: Article
Language:English
Subjects:
attractors
Boundary value problems
p‐Laplacian
wave equation
Wave equations
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper is concerned with the initial‐boundary value problem for one‐dimensional strongly damped wave equation involving p‐Laplacian. For p > 2 , we establish the existence of weak local attractors for this problem in W01,p(0,1)×L2(0,1). Under restriction 2 
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.4315