Mémoire sur l'intégration des équations aux différences partielles de la Physique mathématique.
Mesures limites pour l’équation de Helmholtz dans le cas non captif
Cet article est consacré à l’étude des mesures limites associées à la solution de l’équation de Helmholtz avec un terme source se concentrant en un point. Le potentiel est supposé et l’opérateur non-captif. La solution de l’équation de Schrödinger semi-classique s’écrit alors micro-localement comme somme finie de distributions lagrangiennes. Sous une hypothèse géométrique, qui généralise l’hypothèse du viriel, on en déduit que la mesure limite existe et qu’elle vérifie des propriétés standard....
Method of interior boundaries in a mixed problem of acoustic scattering.
Méthode de calcul du coefficient de singularité pour la solution du problème de Laplace dans un domaine diédral
Méthode d’éléments finis pour la résolution numérique de problèmes extérieurs en dimension
Méthodes d'éléments finis avec intégration numérique pour des problèmes elliptiques du quatrième ordre
Méthodes pour des équations aux dérivées partielles dépendant d’une infinité de variables
Méthodes opérationnelles dans l'étude des problèmes aux limites
Metodi variazionali e topologici nello studio delle equazioni di Schrödinger nonlineari agli stati stazionari
In the present paper we survey some recents results concerning existence of semiclassical standing waves solutions for nonlinear Schrödinger equations. Furthermore, from Maxwell's equations we derive a nonlinear Schrödinger equation which represents a model of propagation of an electromagnetic field in optical waveguides.
Metric currents and geometry of Wasserstein spaces
Metric tensor estimates, geometric convergence, and inverse boundary problems.
Metrica per famiglie di domini limitati e proprietà generiche degli autovalori
Milton's conjecture on the regularity of solutions to isotropic equations
Mimetic finite differences for elliptic problems
We developed a mimetic finite difference method for solving elliptic equations with tensor coefficients on polyhedral meshes. The first-order convergence estimates in a mesh-dependent norm are derived.
Mimetic finite differences for elliptic problems
We developed a mimetic finite difference method for solving elliptic equations with tensor coefficients on polyhedral meshes. The first-order convergence estimates in a mesh-dependent H1 norm are derived.
Minimal Graphs in and
We construct geometric barriers for minimal graphs in We prove the existence and uniqueness of a solution of the vertical minimal equation in the interior of a convex polyhedron in extending continuously to the interior of each face, taking infinite boundary data on one face and zero boundary value data on the other faces.In , we solve the Dirichlet problem for the vertical minimal equation in a convex domain taking arbitrarily continuous finite boundary and asymptotic boundary data.We prove...
Minimal surfaces in pseudohermitian geometry
We consider surfaces immersed in three-dimensional pseudohermitian manifolds. We define the notion of (p-)mean curvature and of the associated (p-)minimal surfaces, extending some concepts previously given for the (flat) Heisenberg group. We interpret the p-mean curvature not only as the tangential sublaplacian of a defining function, but also as the curvature of a characteristic curve, and as a quantity in terms of calibration geometry. As a differential equation, the p-minimal surface equation...
Minimal surfaces PDE as a Monge-Ampère type equation.
Minimalflächen mit polygonalem Rand.
Minimax characterization of solutions for a semi-linear elliptic equation with lack of compactness