ACTA issues

Analytic families of evolution systems

Shmuel Kantorovitz, Mariel Mahadav

Acta Sci. Math. (Szeged) 65:1-2(1999), 311-318

Abstract. Under Kato's or Tanabe's conditions, we prove that the solution of the Cauchy Problem for temporally inhomogeneous evolution systems depending analytically on a parameter $z$ varying in some domain $\Omega $, is itself analytic in $z$, $z\in\Omega $. This generalizes a result of [K] from the temporally homogeneous case to the temporally inhomogeneous case.

AMS Subject Classification (1991): 47D03, 47D05, 47D10

Received December 15, 1997 and in revised form February 27, 1998. (Registered under 2687/2009.)