The vanishing of the fundamental gap of convex domains in $\mathbb H^n$

24 May 2020  ·  Bourni Theodora, Clutterbuck Julie, Nguyen Xuan Hien, Stancu Alina, Wei Guofang, Wheeler Valentina-Mira ·

For the Laplace operator with Dirichlet boundary conditions on convex domains in $\mathbb H^n$, $n\geq 2$, we prove that the product of the fundamental gap with the square of the diameter can be arbitrarily small for domains of any diameter...

PDF Abstract
No code implementations yet. Submit your code now

Categories


Differential Geometry Analysis of PDEs