Exponential formulas and resolvent of two-parameter C_0 semigroups
YU Xiao-hong · Journal of Xuzhou Normal University · 2010
The relation between the semigroup and its infinitesimal generator is one of the fundamental problems in the theory of semigroups of operators.By means of the relation between the one-and two-parameter C0 semigroups,with some properties about the norm and limit,several exponential formulas of two-parameter C0 semigroups are proved,and some properties about the resolvent of one-parameter C0 semigroups are generalized to two-parameter C0 semigroups.