Integral formulae for spinor fields
Integral representation of solutions of first-order linear partial differential equations, I
Integral representation of solutions of linear partial differential equations. II
Integral representation of the solutions to Heun's biconfluent equation.
Intégration des équations simultanées aux dérivées partielles du premier ordre d'une seule fonction
Interfacial dynamics for thermodynamically consistent phase-field models with nonconserved order parameter.
Interior Value Problem Of Heat Conduction For A Finite Circular Cylinder
Interior value problem of heat conduction for a finite circular cylinder.
Intervalles d'instabilité pour une équation de Hill à potentiel méromorphe
Invariant prolongation of BGG-operators in conformal geometry
BGG-operators form sequences of invariant differential operators and the first of these is overdetermined. Interesting equations in conformal geometry described by these operators are those for Einstein scales, conformal Killing forms and conformal Killing tensors. We present a deformation procedure of the tractor connection which yields an invariant prolongation of the first operator. The explicit calculation is presented in the case of conformal Killing forms.
Inverse du Laplacien discret dans le problème de Poisson-Dirichlet à deux dimensions sur un rectangle
Ce travail a pour objet l’étude d’une méthode de « discrétisation » du Laplacien dans le problème de Poisson à deux dimensions sur un rectangle, avec des conditions aux limites de Dirichlet. Nous approchons l’opérateur Laplacien par une matrice de Toeplitz à blocs, eux-mêmes de Toeplitz, et nous établissons une formule donnant les blocs de l’inverse de cette matrice. Nous donnons ensuite un développement asymptotique de la trace de la matrice inverse, et du déterminant de la matrice de Toeplitz....
Iterations of Pompeiu operators.
Kac functional and Schrödinger equation
Kelvin principle for a class of singular equations.
-stability of multi-solitons
The aim of this note is to give a short review of our recent work (see [5]) with Miguel A. Alejo and Luis Vega, concerning the -stability, and asymptotic stability, of the -soliton of the Korteweg-de Vries (KdV) equation.
L²-data Dirichlet problem for weighted form Laplacians
We solve the L²-data Dirichlet boundary problem for a weighted form Laplacian in the unit Euclidean ball. The solution is given explicitly as a sum of four series.
La méthode de Fourier pour des équations abstraites
Laplace integrals in partial differential equations in papers of Bogdan Ziemian
Fundamental solutions to linear partial differential equations with constant coefficients are represented in the form of Laplace type integrals.
Laurent series expansion for solutions of hypoelliptic equations
We prove that any zero solution of a hypoelliptic partial differential operator can be expanded in a generalized Laurent series near a point singularity if and only if the operator is semielliptic. Moreover, the coefficients may be calculated by means of a Cauchy integral type formula. In particular, we obtain explicit expansions for the solutions of the heat equation near a point singularity. To prove the necessity of semiellipticity, we additionally assume that the index of hypoellipticity with...
Le noyau de l'équation des ondes sur une variété riemannienne compacte comme intégrale de chemins