ruled surfaces上的带Hardy不等式
Hardy inequalities in strips on ruled surfaces
摘要：
我们认为Dirichlet Laplacian在无限的二维带定义为均匀管状邻域的直纹曲面上的曲线。我们表明，负高斯曲率的环境表面引起的Hardy不等式，并使用此证明一定的稳定性的谱的情况下，渐近直条轻度扰动测地线。
英文摘要：
We consider the Dirichlet Laplacian in infinite two-dimensional strips defined as uniform tubular neighbourhoods of curves on ruled surfaces. We show that the negative Gauss curvature of the ambient surface gives rise to a Hardy inequality and use this to prove certain stability of spectrum in the case of asymptotically straight strips about mildly perturbed geodesics.
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