The cauchy problem of the hartree equation
網頁Abstract We establish the local and global theory for the Cauchy problem of the singular Hartree equation in three dimensions, that is, the modification of the non-linear Schrödinger equation with Hartree non-linearity, where the linear part is now given by the Hamiltonian of point interaction. 網頁TY - JOUR T1 - On the cauchy problem of fractional schrödinger equation with hartree type nonlinearity AU - Cho, Yonggeun AU - Hajaiej, Hichem AU - Hwang, Gyeongha AU - …
The cauchy problem of the hartree equation
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網頁2024年1月1日 · On the Cauchy problem for the Hartree type equation in the Wiener algebra Proc. Amer. Math. Soc., 142 (2014), pp. 2469-2482 View in Scopus Google … 網頁2012年5月16日 · We consider the mass-subcritical Hartree equation with a homogeneous kernel, in the space of square integrable functions whose Fourier transform is integrable. …
網頁2012年9月26日 · We study the Cauchy problem for the fractional Schrödinger equation where , , , and stands for the nonlinearity of Hartree type: with , and . We prove the existence and uniqueness of local and global solutions for certain , , , . We also remark on finite time blowup of solutions when . Submission history From: Gyeongha Hwang [ view … 網頁Open Access Library Journal > Vol.5 No.7, July 2024 . The Chiral Dirac-Hartree-Fock Approximation in QHD with Scalar Vertex Corrections () Hiroshi Uechi Osaka Gakuin University, S
網頁2024年4月13日 · This study examined a Cauchy problem for a multi-dimensional Laplace equation with mixed boundary. This problem is severely ill-posed in the sense of … 網頁L2, then the corresponding solution of the Cauchy problem (1){(2) exists globally in H 1 . From the general theory of the nonlinear Schr odinger equation (see for example
網頁2010年3月15日 · Abstract In this paper, we show that the Cauchy problem of the 3D nonlinear Schrödinger equation with repulsive potential is globally wellposed if the initial data u 0 is spherically symmetric and .… Expand 5 PDF Global well-posedness and scattering for the higher-dimensional energy-critical non-linear Schrodinger equation for …
網頁2024年4月1日 · Abstract. This paper is concerned with the Cauchy problem of the nonlinear Hartree equation. By constructing a constrained variational problem, we get a refined … other changes to landforms can be caused by網頁2 天前 · Download a PDF of the paper titled The Cauchy problem for Boltzmann bi-linear systems: The mixing of monatomic and polyatomic gases, by Ricardo J. Alonso and 2 other authors Download PDF Abstract: From a unified vision of vector valued solutions in weighted Banach spaces, this manuscript establishes the existence and uniqueness for space … rockfield medical centre ballymena網頁The equation (1.3) is (a fractional) version of the well-known Choquard equation. This is a good point for us to review some of the developments in the classical theory for this model. 1.1. The classical Hartree-Choquard-Pekar model. As one expects, most of the other changes 意味網頁Катедрата по математически анализ и диференциални уравнения е основно научно звено във Факултета по приложна математика и информатика към ТУ-София. rockfield medical campus網頁Abstract. In this paper we study the Cauchy problem for the inhomogeneous Hartree equation. Its well-posedness theory has been intensively studied in recent several years, … other change網頁2007年8月20日 · THE CAUCHY PROBLEM OF THE HARTREE EQUATION Miao, Chang-xing, Xu, Guixiang, Zhao, Lifeng Mathematics 2008 In this paper, we systematically study the wellposedness, illposedness of the Hartree equation, and obtain the sharp local wellposedness, the global existence in H s , s ≥ 1 and the small scattering… Expand 55 … rockfield medical devices galway網頁2015年11月15日 · In this paper, the Cauchy problem for the Hartree equations under random influences is studied. In the first part, the randomization of the initial conditions, … rockfield members