Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
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.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
37-58
Opis fizyczny
Daty
wydano
2008
Twórcy
autor
- Mathematisches Institut I, Universität Karlsruhe, Englerstr. 2, D-76128 Karlsruhe, Germany
autor
- Department of Mathematics and Informatics, University of Novi Sad, Trg D. Obradovića 4, 21 000 Novi Sad, SCG
autor
- Department of Mathematics and Informatics, University of Novi Sad, Trg D. Obradovića 4, 21 000 Novi Sad, SCG
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-sm187-1-2