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非線形項の影響が長時間にわたる双曲型波動方程式系の解の最大存在時間と漸近挙動

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非線形項の影響が長時間にわたる双曲型波動方程式系の解の最大存在時間と漸近挙動

Material type
文書・図像類
Author
肥田野, 久二男ほか
Publisher
三重大学
Publication date
2018-04-23
Material Format
Digital
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application/pdf2015年度～2017年度科学研究費補助金(基盤研究(C))研究成果報告書15K04955

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2003年にLindbladとRodnianskiは，weak null conditionを満たす非線形波動方程式系は小さくなめらかな初期値に対して時間大域解をもつと予想した．この条件をみたすような準線形方程式系の一つの例に対して，Alinhacのghost weightの方法を使って，小さな時間...

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Digital

Material Type
文書・図像類
Title
非線形項の影響が長時間にわたる双曲型波動方程式系の解の最大存在時間と漸近挙動
Author/Editor
肥田野, 久二男
横山, 和義
Author Heading
肥田野, 久二男 ヒダノ, クニオ
横山, 和義 ヨコヤマ, カズヨシ
Publication, Distribution, etc.
三重大学
Publication Date
2018-04-23
Publication Date (W3CDTF)
2018-04-23
Alternative Title
On the lifespan and asymptotic behavior of solutions to systems of wave equations with nonlinear terms of long range effects
Text Language Code
jpn
Subject Heading
nonlinear wave equations
weak null condition