Remarks on the energy scattering for nonlinear Klein-Gordon andSchrodinger equations

スポンサーリンク

概要

• 論文の詳細を見る

• We give an improved proof for the result established recently by the present author that the scattering operators are well-defined in the whole energy space for a class of nonlinear Klein-Gordon and Schrodinger equations in any spatial dimension. Using some Sobolev-type inequatilies, we can simplify and somewhat enhance the Morawetz-type estimates and thereby weaken the required repulsivity conditions.

• 東北大学の論文

著者

• Nakanishi Kenji

  Department Of Mathematics Kobe University

• Nakanishi Kenji

  Depardtment Of Immunology And Medical Zoology Hyogo College Of Medicine

関連論文

• On the global existence of semirelativistic Hartree equations (Harmonic Analysis and Nonlinear Partial Differential Equations)
• Contribution of CD1d-unrestricted hepatic DX5^+ NKT cells to liver injury in Plasmodium berghei-parasitized erythrocyte-injected mice
• IL-18-Mimic Cyclic Peptides Recognized by an Inhibitory Antibody against IL-18 Signaling
• Human Anti-Human IL-18 Antibody Recognizing the IL-18-Binding Site 3 with IL-18 Signaling Blocking Activity
• Crucial role of impaired Kupffer cell phagocytosis on the decreased Sonazoid-enhanced echogenicity in a liver of a nonalchoholic steatohepatitis rat model
• Inadequate induction of suppressor of cytokine signaling-1 causes systemic autoimmune diseases
• A regulatory role for suppressor of cytokine signaling-1 in T_h polarization in vivo
• Type 1 cytokine/chemokine production by mouse NK cells following activation of their TLR/MyD88-mediated pathways
• IL-18-deficient mice are resistant to endotoxin-induced liver injury but highly susceptible to endotoxin shock
• Acoustic Radiation Induced by Intensity Modulated Ion Beam
• Persistent secretion of IL-18 in the skin contributes to IgE response in mice
• Effect of Exercise on Endotoxin Shock with Special Reference to Changes in Concentration of Cytokines
• Freshly isolated Langerhans cells negatively regulate naive T cell activation in response to peptide antigen through cell-to-cell contact
• IL-12 synergizes with IL-18 or IL-1β for IFN-γ production form human T cells
• Granzyme B is a novel interleukin-18 converting enzyme
• Administration of IL-33 induces airway hyperresponsiveness and goblet cell hyperplasia in the lungs in the absence of adaptive immune system
• Formation of Aluminium Nitride by Nitrogen-Ion Implantation in Aluminium Single Crystal
• Neutrophil-dominant psoriasis-like skin inflammation induced by epidermal-specific expression of Raf in mice
• IL-18 together with anti-CD3 antibody induces human Th1 cells to produce Th1- and Th2-cytokines and IL-8
• Contribution of IL-18 to eosinophilic airway inflammation induced by immunization and challenge with Staphylococcus aureus proteins
• Contribution of IL-33 to induction and augmentation of experimental allergic conjunctivitis
• IFN-γ is a master regulator of endotoxin shock syndrome in mice primed with heat-killed Propionibacterium acnes
• IL-4 and anti-CD40 prtect against Fas-mediated B cell apoptosis and induce B cell growth and differentiation
• IL-2 inhibits IL-4-dependent IgE and IgG1 production in vitro and in vivo
• Aging Transition and Universal Scaling in Globally Coupled Oscillators(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
• Contribution of IL-18-induced innate T cell activation to airway inflammation with mucus hypersecretion and airway hyperresponsiveness
• Remarks on the energy scattering for nonlinear Klein-Gordon andSchrodinger equations
• Development of Model Materials for Physical Forming Simulation of Metals and Alloys
• Importance of IL-18-Induced Super Th1 Cells for the Development of Allergic Inflammation
• Roles of IL-18 in Basophils and Mast Cells
• GLOBAL SOLUTIONS FOR NONLINEAR SCHRÖDINGER EQUATIONS WITH ARBITRARILY GROWING NONLINEARITY AND CONTRACTED INITIAL DATA

もっと見る 閉じる

スポンサーリンク