Summary: Maximal regularity and quasilinear evolution equations
Herbert Amann
1. Abstract theory
Let E0 and E1 be Banach spaces such that E1
d
E0, set J := JT0 := [0, T0) for
some fixed positive T0, and suppose that 1 < p < . Put

1
p (J) :=

1
p J, (E1, E0) := Lp(J, E1) W1
p (°J, E0).
Then
B L J, L(E1, E0)
possesses the property of maximal Lp regularity on J with respect to (E1, E0)
if the map

1

Source: Amann, Herbert - Institut für Mathematik, Universität Zürich

Collections: Mathematics