Effets régularisants de semi-groupes non linéaires dans des espaces de Banach
Erratum: A Parabolic Quasilinear Problem for Linear Growth Functionals.
Evolution equations for a class of nonlinear operators
Se è un operatore in uno spazio di Hilbert e è un sotto insieme di questo spazio, in molti problemi si è indotti a modificare sul «bordo» di in modo da ottenere un operatore tale che le soluzioni dell'equazione differenziale associata non escano da . Se non è convesso, l'operatore non rientra nei casi classici esaminati, ad esempio, in [1]. In questo lavoro introduciamo alcune classi di operatori che contengono, in qualçhe caso significativo, quelli del genere sopra considerato...
Existence and limiting behaviour for damped nonlinear evolution equations with nonlocal terms
Existence and regularity of the solution of a time dependent Hartree-Fock equation coupled with a classical nuclear dynamics.
We study an Helium atom (composed of one nucleus and two electrons) submitted to a general time dependent electric field, modeled by the Hartree-Fock equation, whose solution is the wave function of the electrons, coupled with the classical Newtonian dynamics, for the position of the nucleus. We prove a result of existence and regularity for the Cauchy problem, where the main ingredients are a preliminary study of the regularity in a nonlinear Schrödinger equation with semi-group techniques and...
Existence of mild solutions on semiinfinite interval for first order differential equation with nonlocal condition
In this paper we investigate the existence of mild solutions defined on a semiinfinite interval for initial value problems for a differential equation with a nonlocal condition. The results is based on the Schauder-Tychonoff fixed point theorem and rely on a priori bounds on solutions.
Existence of mild solutions to semilinear evolution inclusions with nonlocal conditions.
Existence of solutions for nonconvex third order differential inclusions.
Existence results for impulsive semilinear damped differential inclusions.
Existence, uniqueness and regularity for Kruzkov's solutions of the Burger-Carleman's system
Exponential dichotomy and strongly stable vectors of Hilbert space contraction semigroups