Evolution operators for higher order abstract parabolic equations
Enrico Obrecht · Czechoslovak Mathematical Journal · 1986
In this paper, we show the existence of ^n evolution operator for a higher order abstract paraboHc equation with variable coefficients.More precisely, we exhibit an operator -valued function U{t, s) which solves the Cauchy problem i Л(0 ^t^ ^) = 0 ' {^'Щ^ '))t=s = 0, fc = 0, ..., n -2 , {dr'u{t,s%=.,^i.