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Periodic Solutions of Evolution m -Laplacian Equations with a Nonlinear Convection Term

Wenjun Liu

International Journal of Mathematics and Mathematical Sciences, 2007, vol. 2007, 1-10

Abstract:

We show the existence and gradient estimates of periodic solutions in the case of 0 ≤ α < m + 1 to the evolution m -Laplacian equations of form u t − div { | ∇ u | m ∇ u } + b ( u ) ⋅ ∇ u = f ( t ) u α + h ( x , t ) , in Ω × ℠1 with the Dirichlet boundary value condition.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:027368

DOI: 10.1155/2007/27368

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