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| 摘要: |
| 本文研究了带粘性的含不活泼项Cahn-Hilliard方程柯西问题.利用格林函数不同频域的详细分析及不动点原理，得到了方程大初值情形经典解的整体存在性，推广了以往工作集中在弱解或拟强解或小初值情形下的经典解. |
| 关键词: 带粘性的含不活泼项Cahn-Hilliard方程 经典解 大初值 不动点原理 |
| DOI： |
| 分类号:O175.28 |
| 基金项目:国家自然科学基金项目资助（11571092）. |
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| EXISTENCE OF SOLUTIONS FOR VISCOUS CAHN-HILLIARD EQUATION WITH INERTIAL TERM |
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XU Hong-mei,WANG Yi-ping
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| Abstract: |
| Cauchy problem of viscous Cahn-Hilliard equation with inertial term is studied. By detailed analysis of the Green's function in different frequency, based on fixed point theorem, global existence of classical solution with large initial data is obtained, Which extend the formers work which focused on weak solution or quasi-strong solution or classical solution with small initial data. |
| Key words: viscous Cahn-Hilliard equation with inertial term classical solution large initial data fixed point theorem |
