DSpace コレクション: 2018-04
http://hdl.handle.net/2433/243566
2018-04 2024-03-29T13:47:10ZGlobal Existence for a Class of System of Nonlinear Wave and Klein-Gordon Equations (Harmonic Analysis and Nonlinear Partial Differential Equations)
http://hdl.handle.net/2433/243755
タイトル: Global Existence for a Class of System of Nonlinear Wave and Klein-Gordon Equations (Harmonic Analysis and Nonlinear Partial Differential Equations)
著者: Katayama, Soichiro
抄録: We consider the Cauchy problem for systems of nonlinear wave and Klein-Gordon equations in three space dimensions. We introduce a new kind of null condition for this system to ensure the global existence of small solutions whose wave components decay faster than those in the previous work.
記述: "Harmonic Analysis and Nonlinear Partial Differential Equations". July 3~5, 2017. edited by Hideo Takaoka and Hideo Kubo. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.2018-04-01T00:00:00ZUnconditional well-posedness of fifth order KdV type equations with periodic boundary condition (Harmonic Analysis and Nonlinear Partial Differential Equations)
http://hdl.handle.net/2433/243753
タイトル: Unconditional well-posedness of fifth order KdV type equations with periodic boundary condition (Harmonic Analysis and Nonlinear Partial Differential Equations)
著者: Kato, Takamori
抄録: This paper is announcement of the result obtained in [8] by Tsugawa and the author. We study the well-posedness of the Cauchy problem of the fifth order KdV type equations on T. We show the local well-posedness and unconditional uniqueness in Hs(T) for s ≥ 3/2. The main idea of the proof is using the conserved quantities to cancel the resonant parts with a loss of derivatives and applying the normal form reduction to the non-resonant parts to recover derivatives.
記述: "Harmonic Analysis and Nonlinear Partial Differential Equations". July 3~5, 2017. edited by Hideo Takaoka and Hideo Kubo. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.2018-04-01T00:00:00ZOn the boundedness of certain elliptic operators in generalized Morrey spaces (Harmonic Analysis and Nonlinear Partial Differential Equations)
http://hdl.handle.net/2433/243754
タイトル: On the boundedness of certain elliptic operators in generalized Morrey spaces (Harmonic Analysis and Nonlinear Partial Differential Equations)
著者: Hakim, DennyIvanal; Sawano, Yoshihiro
抄録: In this paper we prove the boundedness of Bessel potential operator on the generalized Morrey space Mφ p (Ω), where Ω is a bounded smooth domain in Rn. We also establish the boundedness of certain elliptic operators on these spaces. To obtain these results, we utilize Gaffney type estimates for these operators on Lebesgue spaces.
記述: "Harmonic Analysis and Nonlinear Partial Differential Equations". July 3~5, 2017. edited by Hideo Takaoka and Hideo Kubo. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.2018-04-01T00:00:00ZRemarks on scattering problem for a class of nonlinear Schrödinger equations (Harmonic Analysis and Nonlinear Partial Differential Equations)
http://hdl.handle.net/2433/243751
タイトル: Remarks on scattering problem for a class of nonlinear Schrödinger equations (Harmonic Analysis and Nonlinear Partial Differential Equations)
著者: Kikuchi, Hiroaki
抄録: We study the scattering problem in the energy space for nonlinear Schrödinger equations with general nonlinearities. Employing the idea of Kenig and Merle [16], we show that any solution behaves asymptotically free as t → ±∞.
記述: "Harmonic Analysis and Nonlinear Partial Differential Equations". July 3~5, 2017. edited by Hideo Takaoka and Hideo Kubo. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.2018-04-01T00:00:00Z