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.
Valeurs propres de problèmes aux limites elliptiques irréguliers
Valeurs propres de systèmes elliptiques définis sur des sous espaces
Valeurs propres d'une classe d'équations différentielles singulières sur une demi-droite
Valeurs propres et résonances au voisinage d'un seuil
Weyl asymptotics for non-self-adjoint operators with small multiplicative random perturbations
We study the Weyl asymptotics of the distribution of eigenvalues of non-self-adjoint (pseudo)differential operators with small random multiplicative perturbations in arbitrary dimension. We were led to quite essential improvements of many of the probabilistic aspects.
Weyl formula for quasi-elliptic pseudo-differential operators
Weyl formula with optimal remainder estimate of some elastic networks and applications
We consider a network of vibrating elastic strings and Euler-Bernoulli beams. Using a generalized Poisson formula and some Tauberian theorem, we give a Weyl formula with optimal remainder estimate. As a consequence we prove some observability and stabilization results.
Zum Eigenwertverteilung invarianter elliptischer Operatoren.
Асимптотика дискретного спектра оператора Дирака с убывающим потенциалом
Асимптотика дискретного спектра оператора Шредингера в электрическом и однородном магнитном полях
Асимптотика плотности состояний гипоэллиптических почти-периодических операторов
Асимптотика собственных значений гипоэллиптических операторов на замкнутом многообразии
Асимптотика собственных функций и собственных частот многозеркального резонатора