Über die Spektralfunktion elliptischer Systeme auf Riemannschen Mannigfaltigkeiten.
Über die Spektralmatrix elliptischer Systeme.
Ueber die Darstellungen der Automorphismengruppe einer Riemannschen Fläche in den Eigenräumen des Laplace-Operators.
Ueber die Eigenwerte des Laplace-Operators auf kompakten Riemannschen Flächen II.
Un problème Spectral Issu d'un Couplage Elasto-Acoustique
We are interested in the theoretical study of a spectral problem arising in a physical situation, namely interactions of fluid-solid type structure. More precisely, we study the existence of solutions for a quadratic eigenvalue problem, which describes the vibrations of a system made up of two elastic bodies, where a slip is allowed on their interface and which surround a cavity full of an inviscid and slightly compressible fluid. The problem shall be treated like a generalized eigenvalue...
Une formule de traces pour l’opérateur de Schrödinger dans
Universal monotonicity of eigenvalue moments and sharp Lieb–Thirring inequalities
We show that phase space bounds on the eigenvalues of Schr¨odinger operators can be derived from universal bounds recently obtained by E. M. Harrell and the author via a monotonicity property with respect to coupling constants. In particular, we provide a new proof of sharp Lieb– Thirring inequalities.