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
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
Journal title :
Journal of Mathematical Analysis and Applications
