Devoted to the construction of optimal estimates of values of linear functionals on solutions to Cauchy and two-point boundary value problems for systems of linear first-order ordinary differential equations, from indirect observations which are linear transformations of the sam…
This monograph is devoted to the construction of optimal estimates of values of linear functionals on solutions to Cauchy and two-point boundary value problems for systems of linear first-order ordinary differential equations, from indirect observations which are linear transfor…
In multidimension, the Cauchy problem for a first order quadrilinear strictly hyperbolic system with a continuous data whose first derivatives are discontinuous on an hypersurface, is a free characteristic boundaries problem. We solve it locally in a blown-up configuration into …
Abstract theorems of existence, uniqueness and regularity of the solution are proved for a differential equation whose solution takes its values in a sequence of Banach spaces called a Banach scale. The abstract theorems are then applied to obtain existence, uniqueness and regul…
