TY - JOUR
T1 - Integrated semigroups
AU - Kellerman, Hermann
AU - Hieber, Matthias Georg
PY - 1989
Y1 - 1989
N2 - The Banach space valued inhomogeneous Cauchy problem u′(t) = Au(t)+f{hook}(t)u(0) = x for a (non-densely defined) linear operator A is treated with the help of the theory of integrated semigroups. New well-posedness results are obtained for differential operators and in particular the Schrödinger operator iΔ.
AB - The Banach space valued inhomogeneous Cauchy problem u′(t) = Au(t)+f{hook}(t)u(0) = x for a (non-densely defined) linear operator A is treated with the help of the theory of integrated semigroups. New well-posedness results are obtained for differential operators and in particular the Schrödinger operator iΔ.
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U2 - 10.1016/0022-1236(89)90116-X
DO - 10.1016/0022-1236(89)90116-X
M3 - Article
AN - SCOPUS:0000549509
SN - 0022-1236
VL - 84
SP - 160
EP - 180
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 1
ER -