Initial and Boundary Value Problems for a Class of Nonlinear Metaparabolic Equations

This paper is devoted to the initial and boundary value problems for a class of nonlinear metaparabolic equations ut−βuxx−kuxxt+γuxxxx=fuxx. At low initial energy level (Ju0<d), we not only prove the existence of global weak solutions for these problems by the combination of the Galerkin approxim...

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Bibliographic Details
Main Authors: Huafei Di, Zefang Song
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2021/6668355
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