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+....
Boundaries of graphs of harmonic functions.
Boundary asymptotic and uniqueness of solution for a problem with -Laplacian.
Boundary augmented Lagrangian method for the Signorini problem
An augmented Lagrangian method, based on boundary variational formulations and fixed point method, is designed and analyzed for the Signorini problem of the Laplacian. Using the equivalence between Signorini boundary conditions and a fixed-point problem, we develop a new iterative algorithm that formulates the Signorini problem as a sequence of corresponding variational equations with the Steklov-Poincaré operator. Both theoretical results and numerical experiments show that the method presented...
Boundary behavior and estimates for solutions of equations containing the -Laplacian.
Boundary behavior of blow-up solutions to some weighted nonlinear differential equations.
Boundary behavior of potentials
Boundary behaviour in strongly degenerate parabolic equations.
Boundary behaviour of differentiable functions and related topics
Boundary Behaviour of Dirchlet Eigenfunctions of Second Order Elliptic Operators.
Boundary behaviour of eigenfunctions of the Laplacian in a bi-tree.
Boundary Behaviour of Nonnegative Solutions of Subelliptic Equations in NTA Domains for Carnot-Carathéodory Metrics.
Boundary blow-up solutions for a cooperative system involving the p-Laplacian
We study necessary and sufficient conditions for the existence of nonnegative boundary blow-up solutions to the cooperative system in a smooth bounded domain of , where is the p-Laplacian operator defined by with p > 1, f and g are nondecreasing, nonnegative C¹ functions, and α and β are two positive parameters. The asymptotic behavior of solutions near the boundary is obtained and we get a uniqueness result for p = 2.
Boundary blow-up solutions of cooperative systems
Boundary blow-up solutions to -Laplacian equations with exponential nonlinearities.
Boundary conditions for one-dimensional biharmonic pseudo process.
Boundary conditions for the Einstein-Christoffel formulation of Einstein's equations.
Boundary conditions on artificial frontiers for incompressible and compressible Navier-Stokes equations
Boundary conditions on artificial frontiers for incompressible and compressible Navier-Stokes equations
Non reflecting boundary conditions on artificial frontiers of the domain are proposed for both incompressible and compressible Navier-Stokes equations. For incompressible flows, the boundary conditions lead to a well-posed problem, convey properly the vortices without any reflections on the artificial limits and allow to compute turbulent flows at high Reynolds numbers. For compressible flows, the boundary conditions convey properly the vortices without any reflections on the artificial limits...