A Convergence Theorem of Nonlinear Semigroups and Its Application to First Order Quasilinear equations

Material type: 文書・図像類

Author: 高橋, 匡康ほか

Publisher: 航空宇宙技術研究所

Publication date: 1973-06

Material Format: Digital

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Note (General)：: 本報告は非線形半群の収束ならびに非線形半群の近似理論の立場から次の一階準線形双曲型方程式　ut+dsumci=1(φi(u))xi=0 t > 0,x=(x1, ...., xd)∈Rdの初期値問題(CP)に対する差分近似の収束を論じる。得られる結果は(CP)に対する差分近似の半群論的取り扱いを示し...

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Material Type: 文書・図像類
Title: A Convergence Theorem of Nonlinear Semigroups and Its Application to First Order Quasilinear equations
Author/Editor: 高橋, 匡康
TAKAHASHI, Tadayasu
Author Heading: 高橋, 匡康
TAKAHASHI, Tadayasu
Publication, Distribution, etc.: 航空宇宙技術研究所
Publication Date: 1973-06
Publication Date (W3CDTF): 1973-06
Periodical title: Technical Report of National Aerospace Laboratory TR-318T
No. or year of volume/issue: 318T
Volume: 318T
Pages: 21-
ISSN (Periodical Title): ISSN : 0389-4010
Text Language Code: eng
Target Audience: 一般
Note (General): 本報告は非線形半群の収束ならびに非線形半群の近似理論の立場から次の一階準線形双曲型方程式　ut+dsumci=1(φi(u))xi=0 t > 0,x=(x1, ...., xd)∈Rdの初期値問題(CP)に対する差分近似の収束を論じる。得られる結果は(CP)に対する差分近似の半群論的取り扱いを示し,同時に(CP)の「解」の一つの構成法を与えるものである。
This paper deals with the convergence of nonlinear semigroups and the difference approximation for the Cauchy problem(CP)for the scalar quasilinear equation ut+dsumci=1(φi(u))xi=0 for t > 0,x=(x1,x2....,xd)∈Rd from the viewpoint of the approximation theory for nonlinear semigroups.We shall exhibit how the convergence of difference approximation for(CP)may be interpreted in L1(Rd)∩L∞(Rd),via the approximation theory for nonlinear semigroups.Our results furnish a semigroup theoretic approach to the difference approximation for(CP)and at the same time present another method for constructing the semigroup solution of(CP).
資料番号: NALTR0318T000
レポート番号: NAL TR-318T
Access Restrictions: 限定公開
Data Provider (Database): 国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
https://irdb.nii.ac.jp
Original Data Provider (Database): 宇宙航空研究開発機構 : 宇宙航空研究開発機構リポジトリ