| Regularity of Solutions of the Cahn-Hilliard Equation with Non-constant Mobility |
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| 作者姓名： | Chang Chun LIU Yuan Wei QI Jing Xue YIN |
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| 作者单位： | [1]Department of Mathematics, Jilin University, Changchun 130012, P. R. China [2]Department of Mathematics, University of California, Santa Barbara, CA 93106, USA |
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| 基金项目： | Supported by the Tianyuan Fund for Mathematics （No. 10526022） and the 985 program of Jilin University |
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| 摘 要： |
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| 关 键 词： | Cahn-Hilliard方程 规律性 Schauder估计量 非常量迁移率 |
| 收稿时间： | 2004-03-04 |
| 修稿时间： | 2004-03-042004-05-19 |
Regularity of Solutions of the Cahn–Hilliard Equation with Non–constant Mobility |
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| Chang Chun LIU Yuan Wei QI Jing Xue YIN.Regularity of Solutions of the Cahn-Hilliard Equation with Non-constant Mobility[J].Acta Mathematica Sinica,2006,22(4):1139-1150. |
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| Authors: | Chang Chun Liu Yuan Wei Qi Jing Xue Yin |
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| Institution: | (1) Department of Mathematics, Jilin University, Changchun 130012, P. R. China;(2) Department of Mathematics, University of California, Santa Barbara, CA 93106, USA;(3) Department of Mathematics, Jilin University, Changchun 130012, P. R. China |
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| Abstract: | In this paper, we study the regularity of solutions for two-dimensional Cahn-Hilliard equation with non-constant mobility. Basing on the L^p type estimates and Schauder type estimates, we prove the global existence of classical solutions. |
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| Keywords: | Cahn-Hilliard equation regularity Schauder estimates |
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