Title: Singular perturbation for abstract elliptic equations and application,
Abstract: Boundary value problem for complete second order elliptic equation is
considered in Banach space. The equation and boundary conditions involve a
small and spectral parameter. The uniform L_{p}-regularity properties with
respect to space variable and parameters are established. Here, the explicit
formula for the solution is given and behavior of solution is derived when the
small parameter approaches zero. It used to obtain singular perturbation result
for abstract elliptic equation