A fourth‐order parabolic equation in two space dimensions | Zendy

Liu Changchun | Zendy

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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.

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