On a Class of non Linear Schrödinger Equations with non Local Interaction.
On a generalized nonlinear equation of Schrödinger type.
On a parabolic-hyperbolic Penrose-Fife phase-field system.
On a theorem of Cauchy-Kovalevskaya type for a class of nonlinear PDE's of higher order with deviating arguments
We prove an existence theorem of Cauchy-Kovalevskaya type for the equation where f is a polynomial with respect to the last k variables.
On a time-dependent subdifferential evolution inclusion with a nonconvex upper-semicontinuous perturbation.
On analytic solutions to the generalized Cauchy problem with data on three surfaces for a quasilinear system.
On existence and nonexistence results for nonlinear Schrödinger equations
On Solutions of the Initial Value Problem for the Nonlinear Schrödinger Equations in One Space Dimension.
On the global Cauchy problem for some non linear Schrödinger equations
On the support of solutions to the generalized KdV equation
On the Uniqueness of Solutions and on the Convergence of Successive Approximations for Certain Initial Problems of Equations of the Higher Orders
On uniqueness and stability of steady-state carrier distributions in semiconductors
Opérateurs de Fuchs non linéaires
On se propose d’étudier des équations aux dérivées partielles non linéaires du type de Fuchs au sens de Baouendi-Goulaouic ([1] et [2]) dans des espaces de fonctions suffisamment différentiables par rapport à la variable fuchsienne et dans des espaces de Gevrey par rapport aux autres variables. Les méthodes utilisées reposent sur le formalisme des séries formelles Gevrey développé dans [13] et adapté aux équations du type de Fuchs dans [6] et [7]. On obtient ainsi des théorèmes qui généralisent...