本质谱的痕量估计和不变性
Trace estimates and invariance of the essential spectrum
摘要：
给出了作用于$\R^N$中的两个高阶算子的预解式之差属于迹类$\cC^p$的充分条件。我们提供了明确的估计的范数的预解差的系数的差异的$L^p$规范。这样的不等式在估计系数的局部扰动的影响时是有用的。
英文摘要：
We provide sufficient conditions under which the difference of the resolvents of two higher-order operators acting in $\R^N$ belongs to trace classes $\cC^p$. We provide explicit estimates on the norm of the resolvent difference in terms of $L^p$ norms of the difference of the coefficients. Such inequalities are useful in estimating the effect of localized perturbations of the coefficients.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
