Open Access
august 2013 Optimal control of a fourth-order parabolic equation modeling epitaxial thin film growth
Xiaopeng Zhao, Changchun Liu
Bull. Belg. Math. Soc. Simon Stevin 20(3): 547-557 (august 2013). DOI: 10.36045/bbms/1378314515

Abstract

In this paper, for the fourth-order parabolic equation modeling epitaxial thin film growth, the optimal control under boundary condition is given, and the existence of optimal solution to the equation is proved.

Citation

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Xiaopeng Zhao. Changchun Liu. "Optimal control of a fourth-order parabolic equation modeling epitaxial thin film growth." Bull. Belg. Math. Soc. Simon Stevin 20 (3) 547 - 557, august 2013. https://doi.org/10.36045/bbms/1378314515

Information

Published: august 2013
First available in Project Euclid: 4 September 2013

zbMATH: 1273.35161
MathSciNet: MR3129058
Digital Object Identifier: 10.36045/bbms/1378314515

Subjects:
Primary: 35K55 , 49A22

Keywords: fourth-order parabolic equation , optimal control , optimal solution

Rights: Copyright © 2013 The Belgian Mathematical Society

Vol.20 • No. 3 • august 2013
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