The theory of semigroups with weak singularity and its applications to partial differential equations
type: Item
instance of: scholarly article
title: The theory of semigroups with weak singularity and its applications to partial differential equations
zbMATH Open document ID: 0695.47031
author: Kazuaki Taira
published in: Tsukuba Journal of Mathematics
publication date: 1989-01-01T00:00:00Z
review text: The paper contains an exposition of the theory of semigroups of linear operators U(z) which are analytic in the sector \(\{z=t+is\), \(z\neq 0\), \(| \arg z| <\pi /2-\epsilon \}\), \(0<\epsilon <\pi /2\) and may have singularity at the origin such that \(\| U(z)\| \leq M/| z|^{\theta}\). The application to the theory of subelliptic initial- boundary value problems for linear parabolic differential equations of second order are given.
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 34G10
zbMATH DE Number: 4138596
zbMATH Keywords: semigroups of linear operators
zbMATH Keywords: analytic in the sector
zbMATH Keywords: singularity at the origin
zbMATH Keywords: subelliptic initial-boundary value problems for linear parabolic differential equations of second order
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496161173
OpenAlex ID: W593154902
DOI: 10.21099/TKBJM/1496161173
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description: scientific article; zbMATH DE number 4138596