Département de Mathématiques, Université Clermont Auvergne, CNRS, LMBP, F-63000 Clermont-Ferrand, France
Abstract:
This paper deal with a nonlinear transport equation with delayed neutron and general boundary conditions. We establish, via the nonlinear semigroups approach, the existence and uniqueness of the mild solution, weak solution, strong solution and local solution on Lp-spaces (1 ≥ p < + ∞). Local and non local evolution problems are discussed.