The Stability of Parabolic Problems with Nonstandard p(x, t)-Growth

In this paper, we study weak solutions to the following nonlinear parabolic partial differential equation ∂ t u − div a ( x , t , ∇ u ) + λ ( | u | p ( x , t ) − 2 u ) = 0 in Ω T , where λ ≥ 0 and ∂ t u denote the partial derivative of u with respect to the...

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Bibliographic Details
Main Author: André H. Erhardt
Format: Article
Language:English
Published: MDPI AG 2017-10-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/5/4/50