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A fourth‐order parabolic equation in two space dimensions
Author(s) -
Liu Changchun
Publication year - 2007
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.878
Subject(s) - mathematics , space (punctuation) , nonlinear system , mathematical analysis , type (biology) , order (exchange) , parabolic partial differential equation , boundary value problem , partial differential equation , ecology , philosophy , linguistics , physics , finance , quantum mechanics , economics , biology
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 © 2007 John Wiley & Sons, Ltd.