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5. Invariant foliations for parabolic equations

Invariant foliations for parabolic equations

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：fuzhuyuansu

【摘 要】

：

It is proved for parabolle eguations that under certain conditions the weak (un-) stable manifolds possess invariant foliations, called strongly (un-)stable fol

【作 者】

：

张伟年 

【机 构】

：

DepartmentofMathematics,SichuanUniversity,Chengdu610064,China

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2000年4期

【关键词】

：

PARABOLIC equation INVARIANT FOLIATION weak HYPERBOLIC manifold generalized expo 

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It is proved for parabolle eguations that under certain conditions the weak (un-) stable manifolds possess invariant foliations, called strongly (un-)stable foliations. The relevant results on center manifolds are generalized to weak hyperbolic manifolds.

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