EQUIDISTRIBUTION OF NEUMANN DATA MASS ON TRIANGLES

作者:Christianson Hans*
来源:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145(12): 5247-5255.
DOI:10.1090/proc/13742

摘要

In this paper we study the behaviour of the Neumann data of Dirichlet eigenfunctions on triangles. We prove that the L-2 norm of the (semi-classical) Neumann data on each side is equal to the length of the side divided by the area of the triangle. The novel feature of this result is that it is not an asymptotic, but an exact formula. The proof is by simple integrations by parts.

  • 出版日期2017-12