Well-posedness of Cauchy problems for linear evolution operators with time dependent coefficients
type: Item
instance of: scholarly article
title: Well-posedness of Cauchy problems for linear evolution operators with time dependent coefficients
zbMATH Open document ID: 0939.35112
author: Reiko Sakamoto
published in: Tsukuba Journal of Mathematics
publication date: 2000-06-26T00:00:00Z
review text: The author proves well-posedness of the Cauchy problem to weakly hyperbolic higher order linear equation with time-dependent coefficients. To do that, he generalizes Tarama-Shiozaki's method, splits the given interval \((0,T)\) into several intervals, on which he deduces the necessary energy estimates. Some examples treated by other authors are given here in view of the proved results.
Mathematics Subject Classification ID: 35L30
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 1394752
zbMATH Keywords: weakly hyperbolic equation
zbMATH Keywords: Tarama-Shiozaki's method
zbMATH Keywords: energy estimates
reviewed by: Marie Kopáčková
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496163872
OpenAlex ID: W1742515993
DOI: 10.21099/TKBJM/1496163872
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description: scientific article; zbMATH DE number 1394752