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Invariant foliations for parabolic equations |
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| Authors: | ZHANG Weinian |
| Institution: | Department of Mathematics, Sichuan University, Chengdu 610064, China |
| Abstract: | It is proved for parabolic equations that under certain conditions the weak (un-) stable manifolds possess invariant foliations, called strongly (un-) stable foliations. The relevant results on center manifoids are generalized to weak hyperbolic manifolds |
| Keywords: | parabolic equation invariant foliation weak hyperbolic manifold generalized exponential dichotomy |
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