Items for "First-order differential equations in general Banach spaces"

Recovering a scalar time dependent function in a multidimensional parabolic equation by a nonlocal boundary additional information

In this paper we solve (locally in time and under suitable assumptions on the data) an identification problem related to a linear parabolic equation when the additional information is time-dependent and nonlocal in space...

Keywords: First-order differential equations in general Banach spaces, recovering an unknown time-dependent term from which the equation depends nonlinearly, analytic semigroup theory, locally in time existence and uniqueness results, applications to identification problems for second-order parabolic linear equations