Classes of distribution semigroups

Peer Christian Kunstmann, Modrag Mijatović, and Stevan Pilipović. "Classes of distribution semigroups." Studia Mathematica 187.1 (2008): 37-58. <http://eudml.org/doc/285106>.

@article{PeerChristianKunstmann2008,
abstract = {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 Łojasiewicz. 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 $C_\{b\}$, $L^\{∞\}$, and BMO with elliptic non-densely defined operators.},
author = {Peer Christian Kunstmann, Modrag Mijatović, Stevan Pilipović},
journal = {Studia Mathematica},
keywords = {integrated semigroups; distribution semigroups; smooth distribution semigroups; Schrödinger type equations; pseudodifferential equations},
language = {eng},
number = {1},
pages = {37-58},
title = {Classes of distribution semigroups},
url = {http://eudml.org/doc/285106},
volume = {187},
year = {2008},
}

TY - JOUR
AU - Peer Christian Kunstmann
AU - Modrag Mijatović
AU - Stevan Pilipović
TI - Classes of distribution semigroups
JO - Studia Mathematica
PY - 2008
VL - 187
IS - 1
SP - 37
EP - 58
AB - 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 Łojasiewicz. 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 $C_{b}$, $L^{∞}$, and BMO with elliptic non-densely defined operators.
LA - eng
KW - integrated semigroups; distribution semigroups; smooth distribution semigroups; Schrödinger type equations; pseudodifferential equations
UR - http://eudml.org/doc/285106
ER -