Finite and infinite dimensional attractors for evolution equations of mathematical physics
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Bibliographic Information
Finite and infinite dimensional attractors for evolution equations of mathematical physics
（GAKUTO international series, . Mathematical sciences and applications ; v. 33）
Gakkotosho, c2010
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Includes bibliographical references (p. 231-234) and index
Description and Table of Contents
Table of Contents
- １ Ｇｌｏｂａｌ ａｔｔｒａｃｔｏｒｓ ｆｏｒ ａｕｔｏｎｏｍｏｕｓ ｅｖｏｌｕｔｉｏｎ ｅｑｕａｔｉｏｎｓ（Ｋｏｌｍｏｇｏｒｏｖ ｅ‐ｅｎｔｒｏｐｙ ａｎｄ ｉｔｓ ａｓｙｍｐｔｏｔｉｃｓ ｉｎ ｆｕｎｃｔｉｏｎａｌ ｓｐａｃｅｓ；Ｇｌｏｂａｌ ａｔｔｒａｃｔｏｒｓ ａｎｄ ｆｉｎｉｔｅ ｄｉｍｅｎｓｉｏｎａｌ ｒｅｄｕｃｔｉｏｎ ほか）
- ２ Ｈｏｍｏｇｅｎｉｚａｔｉｏｎ ｏｆ ａｔｔｒａｃｔｏｒｓ：ａｕｔｏｎｏｍｏｕｓ ａｎｄ ｎｏｎ‐ａｕｔｏｎｏｍｏｕｓ ｒｅａｃｔｉｏｎ‐ｄｉｆｆｕｓｉｏｎ ｓｙｓｔｅｍｓ（Ｕｐｐｅｒ ｓｅｍｉｃｏｎｔｉｎｕｉｔｙ ｏｆ ｎｏｎ‐ｈｏｍｏｇｅｎｉｚｅｄ ａｔｔｒａｃｔｏｒｓ：ｓｐａｔｉａｌｌｙ ｏｓｃｉｌｌａｔｉｎｇ ａｌｍｏｓｔ‐ｐｅｒｉｏｄｉｃ ｍｅｄｉａ；Ｅｒｒｏｒ ｅｓｔｉｍａｔｅｓ ｂｅｔｗｅｅｎ ｎｏｎ‐ｈｏｍｏｇｅｎｉｚｅｄ ａｎｄ ｈｏｍｏｇｅｎｉｚｅｄ ａｔｔｒａｃｔｏｒｓ：ｓｐａｔｉａｌｌｙ ｏｓｃｉｌｌａｔｉｎｇ ｐｅｒｉｏｄｉｃ ｃａｓｅ ほか）
- ３ Ｅｘｐｏｎｅｎｔｉａｌ ａｔｔｒａｃｔｏｒｓ ｆｏｒ ｅｖｏｌｕｔｉｏｎ ｅｑｕａｔｉｏｎｓ ｉｎ Ｂａｎａｃｈ ｓｐａｃｅｓ（Ｅｘｐｏｎｅｎｔｉａｌ ａｔｔｒａｃｔｏｒｓ ｆｏｒ ａｕｔｏｎｏｍｏｕｓ ｓｙｓｔｅｍｓ；Ｐｅｒｔｕｒｂａｔｉｏｎ ｏｆ ｅｘｐｏｎｅｎｔｉａｌ ａｔｔｒａｃｔｏｒｓ：ａｕｔｏｎｏｍｏｕｓ ｃａｓｅ ほか）
- ４ Ｇｌｏｂａｌ ａｎｄ ｅｘｐｏｎｅｎｔｉａｌ ａｔｔｒａｃｔｏｒｓ ｉｎ ｕｎｂｏｕｎｄｅｄ ｄｏｍａｉｎｓ（Ｆｕｎｃｔｉｏｎａｌ ｓｐａｃｅｓ ｒｅｌａｔｅｄ ｔｏ ｕｎｂｏｕｎｄｅｄ ｄｏｍａｉｎｓ；Ａ ｐｒｉｏｒｉ ｅｓｔｉｍａｔｅｓ，ｅｘｉｓｔｅｎｃｅ ａｎｄ ｕｎｉｑｕｅｎｅｓｓ ｏｆ ｓｏｌｕｔｉｏｎｓ ほか）
- ５ Ｌｏｎｇ‐ｔｉｍｅ ｄｙｎａｍｉｃｓ ｏｆ ｓｏｌｕｔｉｏｎｓ ｏｆ ４ｔｈ ｏｒｄｅｒ ｅｑｕａｔｉｏｎｓ（Ｔｈｅ ｆｉｎｉｔｅ ｄｉｍｅｎｓｉｏｎａｌ ｇｌｏｂａｌ ａｔｔｒａｃｔｏｒ ｆｏｒ ａ Ｃａｈｎ‐Ｈｉｌｌｉａｒｄ ｔｙｐｅ ｓｙｓｔｅｍ：ｓｕｐｅｒｃｒｉｔｉｃａｌ ｃａｓｅ ｗｉｔｈ Ｄｉｒｉｃｈｌｅｔ ｂｏｕｎｄａｒｙ ｃｏｎｄｉｔｉｏｎｓ；Ｔｈｅ ｆｉｎｉｔｅ ｄｉｍｅｎｓｉｏｎａｌ ｇｌｏｂａｌ ａｔｔｒａｃｔｏｒ ｆｏｒ ａ Ｃａｈｎ‐Ｈｉｌｌｉａｒｄ ｔｙｐｅ ｓｙｓｔｅｍ：ｓｕｐｅｒｃｒｉｔｉｃａｌ ｃａｓｅ ｗｉｔｈ Ｎｅｕｍａｎｎ ｂｏｕｎｄａｒｙ ｃｏｎｄｉｔｉｏｎｓ ほか）
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