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A fourth-order parabolic equation in two space dimensions

✍ Scribed by Changchun Liu

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
161 KB
Volume
30
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper, we consider an initial‐boundary problem for a fourth‐order nonlinear parabolic equations. The problem as a model arises in epitaxial growth of nanoscale thin films. Based on the L^p^ type estimates and Schauder type estimates, we prove the global existence of classical solutions for the problem in two space dimensions. Copyright Β© 2007 John Wiley & Sons, Ltd.

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