LOCAL SOLVABILITY OF AN INITIAL BOUNDARY VALUE PROBLEM FOR A QUASILINEAR HYPERBOLIC-PARABOLIC SYSTEM
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- YOSHIYUKI KAGEI
- Faculty of Mathematics, Kyushu University, Fukuoka 812-8581, Japan
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- SHUICHI KAWASHIMA
- Faculty of Mathematics, Kyushu University, Fukuoka 812-8581, Japan
書誌事項
- 公開日
- 2006-06
- DOI
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- 10.1142/s0219891606000768
- 公開者
- World Scientific Pub Co Pte Lt
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説明
<jats:p> This paper investigates the solvability of initial boundary value problem for a quasilinear hyperbolic-parabolic system which consists of a transport equation and strongly parabolic system. The characteristics of the transport equation are assumed to be outward on the boundary of the domain. The unique local (in time) existence of solutions is shown in the class of continuous functions with values in H<jats:sup>s</jats:sup>, where s is an integer satisfying s ≥ [n/2]+1. </jats:p>
収録刊行物
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- Journal of Hyperbolic Differential Equations
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Journal of Hyperbolic Differential Equations 03 (02), 195-232, 2006-06
World Scientific Pub Co Pte Lt
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詳細情報 詳細情報について
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- CRID
- 1362262945969784192
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- ISSN
- 17936993
- 02198916
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- データソース種別
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- Crossref
- OpenAIRE
