On an Anisotropic Parabolic Equation on the Domain with a Disjoint Boundary

Consider the anisotropic parabolic equation with the variable exponents vt=∑i=1n(bi(x)vxiqix-2vxi)xi, where bi(x),qi(x)∈C1(Ω¯), qi(x)>1, and bi(x)≥0. If {bi(x)} is not degenerate on Σp⊂∂Ω, a part of the boundary, but is degenerate on the remained part ∂Ω∖Σp, then the boundary value condition is i...

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Bibliographic Details
Main Author: Huashui Zhan
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/6836417