Introduction
Bimonthly, started in 1957
Administrator
Shanxi Provincial Education Department
Sponsor
Taiyuan University of Technology
Publisher
Ed. Office of Journal of TYUT
Editor-in-Chief
SUN Hongbin
ISSN: 1007-9432
CN: 14-1220/N
Administrator
Shanxi Provincial Education Department
Sponsor
Taiyuan University of Technology
Publisher
Ed. Office of Journal of TYUT
Editor-in-Chief
SUN Hongbin
ISSN: 1007-9432
CN: 14-1220/N
location: home > paper >
PDFdownloadsize：372KBviewed：download：
Existence of Global Attractors for a Class of Nonlinear Evolution Equations
DOI:
10.16355/j.cnki.issn1007-9432tyut.2018.02.019
Received:
Accepted:
| Corresponding author | Institute | |
| ZHANG Jianwen | College of Mathematics, Taiyuan University of Technology |
abstract:
In this paper, some priori estimates are obtained by the Sobolev embedding theorem for studying the existence and uniqueness of solutions of a generalized nonlinear equation via Galerkin method.It is proved that under the natural assumptions, these equations possess the global attractors in H01 (Ω) ×H01 (Ω) by using Gronwall lemma and verifying conditions (C) , where the nonlinear termf (u) satisfies a critical exponential growth condition.
Keywords:
Galerkin method; priori estimate; nonlinear evolution equations; global attractors;