简单特征值 meaning in English

simple eigenvalue

For viscous shock waves c , by the spectral analysis we prove that in l2 ( r ) space the essential spectra and the eigenvalues ( except the simple zero eigenvalue ) of the linearized operator have negative real parts , thus we show that the viscous shock waves c is locally asymptotically exponentially stable in l2 ( r ) space
对粘性冲击波c利用类似方法，我们证得在l ~ 2 ( r )空间线性化算子的本质谱和除简单特征值零以外的特征值均具有负实部。于是，我们得到粘性冲击波c在l ~ 2 ( r )空间的局部渐近指数稳定。
By choosing some appropriate exponential weight functions we prove that the essential spectra and the eigenvalues ( except the simple zero eigenvalue ) have negative real parts , thus we get the locally asymptotically exponential stability of travelling waves ( al ) and ( a2 ) in some weighted spaces
通过选用合适的权函数，我们证得在加权空间线性化算子的本质谱和除简单特征值零以外的特征值均具有负实部。因此，我们得到行波( a1 ) ， ( a2 )在加权的l ~ 2 ( r )空间的局部渐近指数稳定。