Classes of distribution semigroups

• Autorzy: Peer Christian Kunstmann , Modrag Mijatović , Stevan Pilipović
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47D06: One-parameter semigroups and linear evolution equations
• 47D62: Integrated semigroups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 187
• Numer: 1
• Strony: 37-58

Daty

wydano

2008

Twórcy

autor

Peer Christian Kunstmann

• Mathematisches Institut I, Universität Karlsruhe, Englerstr. 2, D-76128 Karlsruhe, Germany

autor

Modrag Mijatović

• Department of Mathematics and Informatics, University of Novi Sad, Trg D. Obradovića 4, 21 000 Novi Sad, SCG

autor

Stevan Pilipović

• Department of Mathematics and Informatics, University of Novi Sad, Trg D. Obradovića 4, 21 000 Novi Sad, SCG

Identyfikatory

DOI

10.4064/sm187-1-2