Finite element approximation of a model reaction - diffusion problem with a non-Lipschitz nonlinearity.
Finite Element Solution of Nonlinear Elliptic Problems.
Free systems of vector fields (d'après L. Hörmander et A. Melin)
Frequency functions on the Heisenberg group, the uncertainty principle and unique continuation
A recent result of Bahouri shows that continuation from an open set fails in general for solutions of where and is a (nonelliptic) operator in satisfying Hörmander’s condition for hypoellipticity. In this paper we study the model case when is the subelliptic Laplacian on the Heisenberg group and is a zero order term which is allowed to be unbounded. We provide a sufficient condition, involving a first order differential inequality, for nontrivial solutions of to have a finite order...
Fundamental solutions and geometry of the sum of squares of vector fields.
Funktionalungleichungen und Iterationsverfahren.
Generalization and Acceleration of an Algorithm of Sebastiao e Silva and its Duals.
Géométrie sous-riemannienne
Global Approximate Newton Methods.
Global convergence property of modified Levenberg-Marquardt methods for nonsmooth equations
In this paper, we discuss the globalization of some kind of modified Levenberg-Marquardt methods for nonsmooth equations and their applications to nonlinear complementarity problems. In these modified Levenberg-Marquardt methods, only an approximate solution of a linear system at each iteration is required. Under some mild assumptions, the global convergence is shown. Finally, numerical results show that the present methods are promising.
Homotopy method for solving fuzzy nonlinear equations.
Hypoellipticité des opérateurs différentiels du second ordre à coefficients réels
Hypoellipticité microlocale : présentation historique
Hypoellipticité pour l'opérateur ... .
Improving the efficiency of exclusion algorithms.
Inclusions de Sobolev en calcul de Weyl-Hörmander et champs de vecteurs sous-elliptiques
Interval solutions of linear interval equations
It is shown that if the concept of an interval solution to a system of linear interval equations given by Ratschek and Sauer is slightly modified, then only two nonlinear equations are to be solved to find a modified interval solution or to verify that no such solution exists.
Iterations chaotiques série-parallele pour des équations non lineaires de point fixe
Itérations chaotiques série-parallèle pour des équations non-linéaires de point fixe
Krylov subspace acceleration for nonlinear multigrid schemes.