Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774942 | Journal of Mathematical Analysis and Applications | 2017 | 19 Pages |
Abstract
The aim of this paper is to consider a class of degenerate damped hyperbolic equations with the critical nonlinearity involving an operator L that is X-elliptic with respect to a family of vector fields X. We prove the global existence of solutions and characterize their long time behavior. In particular, we show the semigroup generated by the equation has a compact, connected and invariant attractor.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Dandan Li, Chunyou Sun, Qingquan Chang,