Weyl Asymptotic Formula for the Laplacian on Domains with Rough Boundaries

Second term of the spectral asymptotic expansion of the Laplace - Beltrami operator on manifolds with boundary

Victor Ivrii · Functional Analysis and Its Applications · 1980 · 185 citations

Natural Sciences, Neurological Surgery, Boundary Layer Meteorology +10

The essential spectrum of Neumann Laplacians on some bounded singular domains

Rainer Hempel, Luis Seco, Barry Simon · Journal of Functional Analysis · 1991 · 146 citations

Natural Sciences, Physics, Theoretical Physics +13

An Estimate Near the Boundary for the Spectral Function of the Laplace Operator

R. Seeley · American Journal of Mathematics · 1980 · 78 citations

Natural Sciences, Computational Engineering, Finite Element Analysis +16

Spectral Asymptotics, Renewal Theorem, and the Berry Conjecture for a Class of Fractals

Michael Levitin, Dmitri Vassiliev · Proceedings of the London Mathematical Society · 1996 · 70 citations

Natural Sciences, Mathematics, Physics +12

Spectral stability of the Neumann Laplacian

E. B. Davies · Journal of Differential Equations · 2002 · 64 citations

Natural Sciences, Physics, Dynamical Systems +11