Title of article
Extinction and positivity for the evolution p-Laplacian equation with L1 initial value
Author/Authors
Hongjun Yuan، نويسنده , , Xiaojing Xu، نويسنده , , Wenjie Gao، نويسنده , , Songzhe Lian، نويسنده , , Chunling Cao، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2005
Pages
10
From page
328
To page
337
Abstract
The aims of this paper are to discuss extinction and positivity for the evolution p-Laplacian equation
∂u
∂t =
∂
∂x
∂u
∂x
p−2
∂u
∂x
with initial value u0(x) ∈ L1(Ω) and zero boundary value conditions, wherep >1. In particular, the
necessary and sufficient condition for extinction is obtained.
2005 Elsevier Inc. All rights reserved
Keywords
extinction , p-Laplacian equation , positivity
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2005
Journal title
Journal of Mathematical Analysis and Applications
Record number
934092
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