Existence of Solutions to a Nonlinear Parabolic Equation of Fourth-Order in Variable Exponent Spaces

Existence of Solutions to a Nonlinear Parabolic Equation of Fourth-Order in Variable Exponent Spaces

This paper is devoted to studying the existence and uniqueness of weak solutions for an initial boundary problem of a nonlinear fourth-order parabolic equation with variable exponent v t + div ( | ∇ ▵ v | p ( x ) − 2 ∇ ▵ v ) − | ▵ v | q ( x ) − 2 ▵ v = g ( x , v ) . By applyin...

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Bibliographic Details
Main Authors: Bo Liang, Xiting Peng, Chengyuan Qu
Format: Article
Language:English
Published: MDPI AG 2016-11-01
Series:Entropy
Subjects:
fourth-order parabolic equation
semi-discretization
variable exponent
Online Access:http://www.mdpi.com/1099-4300/18/11/413

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