某类4阶非对称微分算子的正则性

Regularity on Some Four Order Nonsymmetric Differential Operator

本文利用先验估计的技巧,特别是利用范数的内插不等式与Poincar’e不等式讨论了由某类飞行器在轨道飞行中的平稳状况下产生的一类4阶非对称微分算子A_λ的正则性。给出了关于A_λ算子范数的下界估计以及正则性与联合正则性的若干结果。

This paper deals with the regularity of some four order nonsymmetricdifferential operator under the condition of the stable behaviour of someflying object in its orbit, by means of the technique of a priori estimation,especially the interpolating inequality and Poincare's inequality. It also givessome lower bounds of A_λ's norm and some results of regularity and commonregularity.