Scattering theory for hartree type equations
WebThis paper is concerned with the positive solutions of a class of static Hartree-type equations. We translate these equations to the equivalent integral systems involving the Riesz ... S. Hong, J. Kim and C. W. Yang , Scattering theory below energy for a class of Hartree type equations, Comm. Partial Differential Equations, 33 ( 2008), pp ... Web%0 Journal Article %A Hayashi, Nakao %A Tsutsumi, Yoshio %T Scattering theory for Hartree type equations %J Annales de l'I.H.P. Physique théorique %D 1987 %P 187-213 …
Scattering theory for hartree type equations
Did you know?
Webtime evolution of the free wave and Schro¨dinger equations respectively.) Many authors [28, 10, 3, 13, 32, 18, 7] have studied Klein-Gordon and wave equations with power type nonliterary in modulation spaces. However, there is not much progress concerning well-posedness and scattering theory for the equations (1.1) and (1.2) in modulation spaces. WebJul 7, 1998 · J. Ginibre, G.Velo. We study the theory of scattering for a class of Hartree type equations with long range interactions in space dimension n > 2, including Hartree …
Web2014 In this paper we will study the asymptotic behavior in time of the solutions and the scattering theory for the following Hartree type equation We prove that when (4/3) y Min (4, n) and ~, > 0, all solutions of (1)-(2) with (~ E are dispersive in and that when 1 y Min (4, n) and ~, E ~, the solutions of ( 1 )-(2) with 4> E and II 4> 11~1,1 ... WebThere is a substantial literature on the scattering theory for nonlinear Schrödinger and Hartree equations (see for instance [4] and references therein). In this paper we use a result which was ...
WebWe study the theory of scattering for a class of Hartree type equations with long range interactions in space dimension n≥3, including Hartree equations with potential V(x)= λ x -γ with γ<1. For 1/2<1 we prove the existence of modified wave operators with no size restriction on the data and we determine the asymptotic behaviour in time of solutions in … WebApr 10, 2024 · A theory of time-dependent nonlinear dispersive equations of the Schrödinger or Gross-Pitaevskii and Hartree type is ... of these equations. The scattering theory is developed and coherent ...
WebMar 3, 2000 · Download PDF Abstract: We study the theory of scattering for a class of Hartree type equations with long range interactions in arbitrary space dimension n > or = 1, including the case of Hartree equations with time dependent potential V(t,x) = kappa t^(mu - gamma) x ^{- mu} with 0 < gamma < or =1 and 0 < mu < n.This includes the case of …
WebMar 1, 2008 · We prove the global existence and scattering for the Hartree-type equation in H s (3) the low regularity space s < 1. We follow the ideas in Colliander et al. (200410. pink rubber duckies baby showerWebWe prove the global existence and scattering for the Hartree-type equation in H s (ℝ 3) the low regularity space s < 1. We follow the ideas in Colliander et al. (2004 Colliander , J., … pink ruched side bikini bottomWebScattering theory for Hartree type equations. 2014 In this paper we will study the asymptotic behavior in time of the solutions and the scattering theory for the following … pink ruby clothingWebSep 30, 1998 · J. Ginibre, G. Velo. We study the theory of scattering in the energy space for the Hartree equation in space dimension n>2. Using the method of Morawetz and Strauss, … steering stabilizer for stock height f350WebMay 1, 2014 · In this paper, we consider a class of wave equations of Hartree type on a bounded smooth convex domain with Dirichlet boundary condition. By applying the … pink ruffle curtains targetWebSep 20, 2001 · We study the theory of scattering for a class of Hartree type equations with long range interactions in arbitrary space dimension n⩾1, including the case of Hartree equations with time dependent potential V(t, x)=κt μ−γ x −μ with 0 pink ruffled chenille spreadWebFeb 21, 2024 · We study the Cauchy problems for the Hartree-type nonlinear Dirac equations with Yukawa-type potential derived from the pseudoscalar field. ... Field theory … pink ruby meaning