Summary: Maximal regularity for nonautonomous evolution
Institut f¨ur Mathematik,
Universit¨at Z¨urich, Winterthurerstr. 190, CH8057 Z¨urich, Switzerland
To Antonio Ambrosetti for his 60th
We derive sufficient conditions, perturbation theorems in particular, for nonau-
tonomous evolution equations to possess the property of maximal Lp regularity.
1991 Mathematics Subject Classification. 35K90, 47D06.
Key words. Maximal regularity, perturbation theorems, nonautonomous parabolic evolution equations.
Let E0 and E1 be Banach spaces such that E1 is continuously and densely embedded
in E0. Suppose that J is a nontrivial compact subinterval of R+
and 1 < p < . Then
p J, (E1, E0) := W1