EXISTENCE RESULTS FOR A NON LINEAR BOUNDARY VALUE PROBLEM ARISING IN
KINETIC THEORY OF GAZ IN BOUNDED GEOMETRY
Abstract
The present paper deals with the existence results on L1 space for a
nonlinear transport equation describing the continuous slowing down of
electrons in a semiconductor or mettalic medium. Starting with our
equation, we transform it in a fixed point problem by a new variant of
Krasnosel'skii fixed point theorem for the weak topology involving
weakly compact operators on nonreflexive Banach spaces, we give the
existence results of the solution