Concerning some version of the Lax-Milgram Lemma in normed spaces
Conditions suffisantes de sous-ellipticité pour (d’après J. J. Kohn)
Construction de solutions nulles et singulières pour des opérateurs de type principal
Continuous and generalized solutions of singular partial differential equations.
Continuous host-macroparasite models with application to aquaculture.
Convergence analysis of finite difference schemes for semi-linear initial-value problems
Critical points of convex perturbations of some indefinite quadratic forms and semi-linear boundary value problems at resonance
Distinguished Selfadjoint Extensions of Dirac Operators.
Elliptic Equations with Noninvertible Fredholm Linear Part and Bounded Nonlinearities.
Embedding operators and maximal regular differential-operator equations in Banach-valued function spaces.
Équations de diffusion sur des réseaux infinis
Équations hyperboliques avec petit paramètre dans les espaces de Banach généraux
Error Estimates for Semidiscrete Galerkin Type Approximations for Semilinear Evolution Equations with Nonsmooth Initial Data.
Evolution operators for higher order abstract parabolic equations
Exact controllability of the wave equation in a thin domain with a wave-like boundary. (Contrôlabilité exacte de l'équation des ondes dans un domaine mince à frontière ondulée.)
Existence and attractivity results for a class of degenerate functional-parabolic problems
Existence et prolongement des solutions holomorphes des équations aux dérivées partielles
Existence locale de solutions holomorphes pour les équations différentielles d'ordre infini
L’existence de solutions holomorphes locales d’équations aux dérivées partielles d’ordre infini à coefficients holomorphes de type spécial est étudiée.
Existence of solutions for infinite systems of parabolic equations with functional dependence
The Cauchy problem for an infinite system of parabolic type equations is studied. General operators of parabolic type of second order with variable coefficients are considered and the system is weakly coupled. We prove the existence and uniqueness of a bounded solution under Carathéodory type conditions and its differentiability, as well as the existence and uniqueness in the class of functions satisfying a natural growth condition. Both results are obtained by the fixed point method.
Existence of solutions of nonlinear hyperbolic equations