大耦合极限下谱渐近解的相对收敛估计
Relative convergence estimates for the spectral asymptotic in the Large Coupling Limit
摘要：
我们证明了一类奇异/刚性扰动问题的特征值和特征向量的最优收敛估计。我们的教授是建设性的性质和使用（小学）技术，这是目前的兴趣，在计算线性代数，以获得估计，甚至是本征值的差距的本质谱。此外，我们还确定了一类“定期”刚性扰动（可证明）良好的渐近性质。从弹性理论的拱模型作为这类扰动的原型。我们还表明，我们能够研究模型的问题，不满足这个规律性的假设，提出了一个研究的薛定谔算子奇异障碍潜力。
英文摘要：
We prove optimal convergence estimates for eigenvalues and eigenvectors of a class of singular/stiff perturbed problems. Our profs are constructive in nature and use (elementary) techniques which are of current interest in computational Linear Algebra to obtain estimates even for eigenvalues which are in gaps of the essential spectrum. Further, we also identify a class of "regular" stiff perturbations with (provably) good asymptotic properties. The Arch Model from the theory of elasticity is presented as a prototype for this class of perturbations. We also show that we are able to study model problems which do not satisfy this regularity assumption by presenting a study of a Schroedinger operator with singular obstacle potential.
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。
