1Mathematisches Institut I Universität Karlsruhe Englerstr. 2 D-76128 Karlsruhe, Germany 2Department of Mathematics and Informatics University of Novi Sad Trg D. Obradovi/ca 4 21 000 Novi Sad, SCG
Studia Mathematica, Tome 187 (2008) no. 1, pp. 37-58
We introduce
various classes of distribution semigroups distinguished by their
behavior at the origin. We relate them to quasi-distribution
semigroups and integrated semigroups. A class of such semigroups,
called strong distribution semigroups, is characterized through
the value at the origin in the sense of
/Lojasiewicz.
It contains smooth distribution semigroups
as a subclass. Moreover, the analysis of the behavior at the
origin involves intrinsic structural results for semigroups. To
this purpose, new test function spaces and distribution semigroups
over these spaces are introduced. We give applications to
Schrödinger type equations in the spaces $C_{\rm b}$, $L^\infty$,
and BMO with elliptic non-densely defined operators.
Keywords:
introduce various classes distribution semigroups distinguished their behavior origin relate quasi distribution semigroups integrated semigroups class semigroups called strong distribution semigroups characterized through value origin sense lojasiewicz contains smooth distribution semigroups subclass moreover analysis behavior origin involves intrinsic structural results semigroups purpose test function spaces distribution semigroups these spaces introduced applications schr dinger type equations spaces infty bmo elliptic non densely defined operators
1
Mathematisches Institut I Universität Karlsruhe Englerstr. 2 D-76128 Karlsruhe, Germany
2
Department of Mathematics and Informatics University of Novi Sad Trg D. Obradovi/ca 4 21 000 Novi Sad, SCG
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title = {Classes of distribution semigroups},
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Peer Christian Kunstmann; Modrag Mijatovi/c; Stevan Pilipovi/c. Classes of distribution semigroups. Studia Mathematica, Tome 187 (2008) no. 1, pp. 37-58. doi: 10.4064/sm187-1-2
