ABSTRACT
The objective of this chapter is to give a summary of properties relative to the Green function for parabolic integro-differential operators of second order. Mainly, the results in our previous book [44] are extended when the time variable t varies in [0,∞). Since all coefficients are now time-independent, calculations are simpler and key estimates are stated with some details. Note that as a byproduct of the construction and the estimates of the parabolic Green function, an explicit expression and suitable estimates for the elliptic Green function can be deduced.
