Asymptotische Eigenwertverteilung des Laplace-Operators in bestimmten unbeschränkten Gebieten mit Neumannschen Randbedingungen und Restgliedabschätzungen. (Asymptotic distribution of eigenvalues of the Laplace operator in certain unbounded domains with Neumann boundary conditions and remainder estimates) (Q1070450)

The distribution of eigenvalues of the Laplace operator with Neumann boundary conditions is investigated on certain unbounded domains in \(R^ n\). For special domains asymptotic formulas with remainder estimates are established, the leading term of the asymptotic formula being the same as that of the Laplacian on bounded domains.