Analytical solution of a general boundary value problem for a BKW-equation.
Analytical solutions for the neutron transport using the spectral methods.
Antimaximum principle for elliptic problems with weight.
Appendice à l'exposé : «Weak bloch property and weight estimates for elliptic operators»
Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods
In this paper we analyze the stream function-vorticity-pressure method for the Stokes eigenvalue problem. Further, we obtain full order convergence rate of the eigenvalue approximations for the Stokes eigenvalue problem based on asymptotic error expansions for two nonconforming finite elements, and . Using the technique of eigenvalue error expansion, the technique of integral identities and the extrapolation method, we can improve the accuracy of the eigenvalue approximations.
Asymptotic Property of Eigenvalues and Eigenfunctions of the Laplace Operator in Domain with a Perturbed Boundary
2000 Mathematics Subject Classification: 35J05, 35C15, 44P05In this paper, we consider the variations of eigenvalues and eigenfunctions for the Laplace operator with homogeneous Dirichlet boundary conditions under deformation of the underlying domain of definition. We derive recursive formulas for the Taylor coefficients of the eigenvalues as functions of the shape-perturbation parameter and we establish the existence of a set of eigenfunctions that is jointly holomorphic in the spatial and boundary-variation ...
Asymptotics of the first nodal line
Asymptotique de Born-Oppenheimer pour la prédissociation moléculaire (cas de potentiels réguliers)
Asymptotique semi-classique de la fonction spectrale pour des opérateurs de Schrödinger à longue portée