Borne inférieure du spectre de l'opérateur de Schrödinger
Bornes inférieurs pour des fonctions propres de l'opérateur de Schrödinger
Bound states and propagating states for time-dependent hamiltonians
Bound states and scattering states for time periodic hamiltonians
Bound states of a converging quantum waveguide
We consider a two-dimensional quantum waveguide composed of two semi-strips of width 1 and 1 − ε, where ε > 0 is a small real parameter, i.e. the waveguide is gently converging. The width of the junction zone for the semi-strips is 1 + O(√ε). We will present a sufficient condition for the existence of a weakly coupled bound state below π2, the lower bound of the continuous spectrum. This eigenvalue in the discrete spectrum is unique and its asymptotics is constructed and justified when ε → 0+....
Boundary behavior and estimates for solutions of equations containing the -Laplacian.
Boundary Behaviour of Dirchlet Eigenfunctions of Second Order Elliptic Operators.
Boundary behaviour of eigenfunctions of the Laplacian in a bi-tree.
Boundary controllability of a chain of serially connected Euler-Bernoulli beams with interior masses.
Boundary eigencurve problems involving the biharmonic operator
The aim of this paper is to study the spectrum of the fourth order eigenvalue boundary value problem ⎧Δ²u = αu + βΔu in Ω, ⎨ ⎩u = Δu = 0 on ∂Ω. where (α,β) ∈ ℝ². We prove the existence of a first nontrivial curve of this spectrum and we give its variational characterization. Moreover we prove some properties of this curve, e.g., continuity, convexity, and asymptotic behavior. As an application, we study the non-resonance of solutions below...
Boundary eigencurve problems involving the -Laplacian operator.
Boundary feedback stabilization of a hybrid PDE-ODE system.
Boundary problems of the second order with an indefinite weight-function.
Boundary-Variation Solution of Eigenvalue Problems for Elliptic Operators.
Bounded domains which are isospectral but not congruent
Bounded nonlinear perturbations of second order linear elliptic problems
Boundedness and monotonicity of principal eigenvalues for boundary value problems with indefinite weight functions.
Bounds for the first Dirichlet eigenvalue of triangles and quadrilaterals
We prove some new upper and lower bounds for the first Dirichlet eigenvalue of triangles and quadrilaterals. In particular, we improve Pólya and Szegö's [Annals of Mathematical Studies 27 (1951)] lower bound for quadrilaterals and extend Hersch's [Z. Angew. Math. Phys. 17 (1966) 457–460] upper bound for parallelograms to general quadrilaterals.
Bounds on many-body resonances
Bounds on Schrödinger operators and generalized Sobolev type inequalities