一类边界条件非周期频繁变换的快速振荡集问题
On a problem with nonperiodic frequent alternation of boundary condition imposed on fast oscillating sets
摘要：
本文考虑圆柱体中Laplace算子的奇异摄动特征值问题，其边界条件的频繁和非周期性变化施加在位于侧面的窄条上。带的宽度以任意方式依赖于一个小参数，并且可以快速振荡，而且振荡的性质也是任意的。我们得到了扰动特征值收敛度的双边估计。
英文摘要：
We consider singular perturbed eigenvalue problem for Laplace operator in a cylinder with frequent and nonperiodic alternation of boundary conditions imposed on narrow strips lying in the lateral surface. The width of strips depends on a small parameter in a arbitrary way and may oscillate fast, moreover, the nature of oscillation is arbitrary, too. We obtain two-sided estimates for degree of convergences of the perturbed eigenvalues.
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。
