Existence and Regularity of a Global Attractor for Doubly Nonlinear Parabolic Equations
| dc.contributor.author | El Hachimi, Abderrahmane | |
| dc.contributor.author | El Ouardi, Hamid | |
| dc.date.accessioned | 2020-08-07T21:07:07Z | |
| dc.date.available | 2020-08-07T21:07:07Z | |
| dc.date.issued | 2002-05-24 | |
| dc.description.abstract | In this paper we consider a doubly nonlinear parabolic partial differential equation ∂β(u)/ ∂t - Δpu + ƒ(x, t, u) = 0 in Ω x ℝ+, with Dirichlet boundary condition and initial data given. We prove the existence of a global compact attractor by using a dynamical system approach. Under additional conditions on the nonlinearities β, ƒ, and on p, we prove more regularity for the global attractor and obtain stabilization results for the solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | El Hachimi, A., & El Ouardi, H. (2002). Existence and regularity of a global attractor for doubly nonlinear parabolic equations. <i>Electronic Journal of Differential Equations, 2002</i>(45), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12344 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | p-Laplacian | |
| dc.subject | a-Priori estimate | |
| dc.subject | Long time behaviour | |
| dc.subject | Dynamical system | |
| dc.subject | Absorbing set | |
| dc.subject | Global attractor | |
| dc.title | Existence and Regularity of a Global Attractor for Doubly Nonlinear Parabolic Equations | |
| dc.type | Article |