Some convergence results for quasilinear parabolic boundary value problems in cylindrical domains of large size

✍ Scribed by Senoussi Guesmia

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 759 KB
• Volume: 70
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2008.04.036

✦ Synopsis

The goal of this paper is to study the asymptotic behavior of the solution of the quasilinear parabolic boundary value problems defined on cylindrical domains when one or several directions go to infinity. We show that the dimension of the space can be reduced and the rate of convergence is analyzed. The evolution p-Laplacian equations and the generalized heat problems are considered.