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Some properties of solutions for a fourth‐order parabolic equation
Author(s) -
Zhao Xiaopeng,
Zhang Min,
Liu Changchun
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2579
Subject(s) - mathematics , uniqueness , attractor , fixed point theorem , dimension (graph theory) , parabolic partial differential equation , order (exchange) , mathematical analysis , pure mathematics , partial differential equation , finance , economics
This paper is concerned with a fourth‐order parabolic equation in one spatial dimension. On the basis of Leray–Schauder's fixed point theorem, we prove the existence and uniqueness of global weak solutions. Moreover, we also consider the regularity of solution and the existence of global attractor. Copyright © 2012 John Wiley & Sons, Ltd.