Über Membranen mit speziellen Knotenlinien.
Über Regularitätseigenschaften der Potenzräume eines Schrödinger-Operators mit singulärem Potential.
Über Verallgemeinerungen des Virialsatzes und Existenzfragen von Eigenwerten bei Schrödingeroperatoren
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.
Ueber die Eigenwerte des Laplace-Operators auf kompakten Riemannschen Flächen
Un majorant du nombre des valeurs propres négatives correspondantes à l’opérateur de Schrödinger généralisé.
On donne une borne supérieur du nombre des valeurs propres négatives de l’opérateur de Schrödinger généralisé, cette borne est donnée en fonction d’un nombre fini de cube dyadiques minimaux.
Un Principio De Anti-Maximo Para Ecuaciones Parabolicas Periodicas.
Un problema agli autovalori per un sistema di equazioni quasilineari ellittiche
Un problema de valores propios para un sistema parabólico periódico y aplicaciones.
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...
Un résultat de non-existence de solution positive pour une équation elliptique
Une formule de traces pour l’opérateur de Schrödinger dans
Une inégalité universelle pour la première valeur propre du laplacien
Unique continuation property near a corner and its fluid-structure controllability consequences
We study a non standard unique continuation property for the biharmonic spectral problem in a 2D corner with homogeneous Dirichlet boundary conditions and a supplementary third order boundary condition on one side of the corner. We prove that if the corner has an angle , and , a unique continuation property holds. Approximate controllability of a 2-D linear fluid-structure problem follows from this property, with a control acting on the elastic side of a corner in a domain containing a Stokes...
Unique continuation property near a corner and its fluid-structure controllability consequences
We study a non standard unique continuation property for the biharmonic spectral problem in a 2D corner with homogeneous Dirichlet boundary conditions and a supplementary third order boundary condition on one side of the corner. We prove that if the corner has an angle , and , a unique continuation property holds. Approximate controllability of a 2-D linear fluid-structure problem follows from this property, with a control acting on the elastic side of a corner in a domain containing...
Uniqueness of the Multi-Dimensional Inverse Scattering Problem for Time Dependent Potentials.
Universal bounds for eigenvalues of Schrödinger operators on Riemannian manifolds.
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.
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