Ultradistribution semigroups
type: Item
instance of: scholarly article
title: Ultradistribution semigroups
zbMATH Open document ID: 1259.47052
DOI: 10.1134/S0037446612020061
author: Marko Kostić
author: Stevan Pilipović
published in: Siberian Mathematical Journal
publication date: 2012-11-14T00:00:00Z
review text: The use of the ultradistribution semigroups is a main tool to analyze some pseudodifferential evolution systems having constant or nonconstant coefficients. In the present work, the authors study and analyze ultradistribution semigroups. They present the existence of fundamental solutions for Cauchy problems and analyze spectral characterizations of the generators of ultradistribution semigroups. Further, they link the present study convolution type equations and transfer many known results from distribution semigroups to ultradistribution semigroups. The authors also provide several illustrative examples in order to support the idea presented in the paper.
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 46F10
Mathematics Subject Classification ID: 46F12
zbMATH DE Number: 6105675
zbMATH Keywords: ultradistribution semigroups
zbMATH Keywords: convoluted semigroups
reviewed by: Adem Kilicman
MaRDI profile type: Publication
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full work available at URL: s0037446612020061
OpenAlex ID: W3192167992
description: scientific article; zbMATH DE number 6105675