锥性质定理的改进与惯性流形存在定理

An Improvement of the Cone Property Theorem and the Existence Theorem or inertial Manifolds

１９８８年ＴｅｍａｍＲ和ＦｏｉａｓＣ利用所谓锥性质定理证实了一类耗散系统存在惯性流形，本文修改了起关键作用的锥性质定理。

In 1988 using the cone property theorem Temam R and Foias C proved the existence of inertial manifolds for a kind of dissipative systems.This paper improves the cone property theorem and consequently improves the coefficients of the existence theorem of inertial manifolds.