HOME » テーマカテゴリー » 研究者名リスト (理学(数学・物理学等)) » 肥田野 久二男 詳細
波動方程式の解のなめらかさの研究を行っています。関連して、波動方程式の解の時間変数に関する減衰評価にも興味を持っています。障害物が解の性質に与える影響も調べています。
●The Glassey conjecture with radially symmetric data. (Joint work with Chengbo Wang and Kazuyoshi Yokoyama) Journal des Mathématiques Pures et Appliquées (in press).
●On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles. (Joint work with Jason Metcalfe, Hart F. Smith, Christopher D. Sogge, Yi Zhou) Transactions of the American Mathematical Society, Vol.362, No.5 (2010), 2789-2809.
●Small solutions to semi-linear wave equations with radial data of critical regularity.
Revista Matemática Iberoamericana, Vol.25, No.2 (2009), 693-708.
●Weighted HLS inequalities for radial functions and Strichartz estimates for wave and Schrödinger equations. (Joint work with Yuki Kurokawa) Illinois Journal of Mathematics, Vol.52, No.2 (2008), 365-388.
●Morawetz-Strichartz estimates for spherically symmetric solutions to wave equations and applications to semi-linear Cauchy problems. Differential and Integral Equations, Vol.20, No.7 (2007), 735-754.
●Space-time L^2-estimates and life-span of the Klainerman-Machedon radial solutions to some semi-linear wave equations. (Joint work with Kazuyoshi Yokoyama) Differential and Integral Equations, Vol.19, No.9 (2006), 961-980.
●日本数学会