Special Session 50: Evolution equations and inclusions with applications to control, mathematical modeling and mechanics
Contents
In this talk,
we consider existence and uniqueness of classical solution
to the abstract Cauchy problem for linear evolution equations of the form
\[
B(t)(d/dt)u(t)+A(t)u(t)=f(t);\quad u(0)=u_0,
\]where $\{A(t)\}$ and $\{B(t)\}$ are families of closed linear operators in Hilbert space.