The stability of rational approximations of analytic semigroups

Artikel i vetenskaplig tidskrift, 1993

This paper contains two new characterizations of generators of analytic semigroups of linear operators in a Banach space. These characterizations do not require use of complex numbers. One is used to give a new proof that strongly elliptic second order partial differential operators generate analytic semigroups inL p , 1

Analytic semigroup - Banach space - rational approximation - A-acceptable - A(theta)-acceptable - stability - Crank-Nicolson method