Solution of inhomogeneous quasilinear Dirichlet and Neumann problems by reduction to the Poisson equation and a posteriori error bounds.
Solution of the first biharmonic problem by the method of least squares on the boundary
Solution semigroup and invariant manifolds for functional equations with infinite delay
It is proved that parabolic equations with infinite delay generate -semigroup on the space of initial conditions, such that local stable and unstable manifolds can be constructed for a fully nonlinear problems with help of usual methods of the theory of parabolic equations.
Solution to a semilinear pseudoparabolic problem with integral conditions.
Solution to a system of equations modelling compressible fluid flow with capillary stress effects.
Solution to a transmission problem for quasilinear pseudoparabolic equations by the Rothe method.
Solution to nonlinear gradient dependent systems with a balance law.
Solutions asymptotiques de l'équation de Dirac
Solutions d’une classe de problèmes de Cauchy quasi-linéaires hyperboliques du second ordre sur un conoïde caractéristique
Solutions classification to the extended reduced Ostrovsky equation.
Solutions en grand temps d'équations d'ondes non linéaires
Solutions faibles des équations elliptiques du deuxième ordre
Solutions for a hyperbolic system with boundary differential inclusion and nonlinear second-order boundary damping.
Solutions for singular critical growth Schrödinger equations with magnetic field.
Solutions fortes pour des problèmes aux limites du second ordre dégénérés
Solutions globales de l’équation des ondes semi-linéaire critique à coefficients variables
Dans ce travail, on s’intéresse à l’existence globale de solutions classiques et au sens de Shatah-Struwe de l’équation des ondes critique à coefficients variables en dimension d’espaceoù est une fonction régulière à valeurs dans les matrices définies positives, valant l’identité en dehors d’un compact fixe.
Solutions in Gevrey spaces of partial differential equations with constant coefficients
Si dà una condizione sufficiente per la esistenza di una soluzione in uno spazio di Gevrey , razionale , , di una equazione lineare a derivate parziali a coefficienti costanti , quando . La dimostrazione completa dei risultati ottenuti è contenuta in una nota dell’autore in corso di pubblicazione su "Astérisque".
Solutions in the large for certain nonlinear parabolic systems
Solutions of a fourth order degenerate parabolic equation with weak initial trace
Solutions of a nonhyperbolic pair of balance laws
We describe a constructive algorithm for obtaining smooth solutions of a nonlinear, nonhyperbolic pair of balance laws modeling incompressible two-phase flow in one space dimension and time. Solutions are found as stationary solutions of a related hyperbolic system, based on the introduction of an artificial time variable. As may be expected for such nonhyperbolic systems, in general the solutions obtained do not satisfy both components of the given initial data. This deficiency may be overcome,...