The cauchy problem of the hartree equation
網頁[9]R. Glassey, On the blowing up of solutions to the Cauchy problem for nonlinear Schr odinger equations, J. Math. Phys., 18 (1977), 1794{1797. [10]T. Hmidi and S. Keraani, … 網頁2012年9月26日 · On the Cauchy problem of fractional Schrödinger equation with Hartree type nonlinearity. We study the Cauchy problem for the fractional Schrödinger equation …
The cauchy problem of the hartree equation
Did you know?
網頁We discuss the wellposedness theory of the Cauchy problem for the nonlinear Schro- dinger equation on compact Riemannian manifolds. New dispersive estimates on the linear Schrodinger group are used to get global existence in the energy space on arbit- rary surfaces and three-dimensional manifolds, generalizing earlier results by Bourgain on tori. http://cgit.ins.sjtu.edu.cn/schools/2024/07/09/2024-international-graduate-summer-school-on-frontiers-of-applied-and-computational-mathematics/1522
網頁The existence and uniqueness of global solutions to the Cauchy problem is proved in the space of “smooth” density matrices for the time-dependent Hartree-Fock equations … 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 …
網頁2011年1月25日 · In this paper we consider the nonlinear Hartree equation in presence of a given external potential, for an initial coherent state. Under suitable smoothness assumptions, we approximate the solution… Expand 4 Highly Influential PDF View 6 excerpts, references background and results Semilinear Schrodinger Equations T. … 網頁2006年8月18日 · Minimax Inequalities and Hamilton-Jacobi equations Moscow: Nauka. in Russian [Google Scholar]. They are also grateful to Professor Stanley Osher for pointing out [26] Osher, S. 1993. A level set formulation for the …
網頁THE CAUCHY PROBLEM OF THE HARTREE EQUATION Miao, Chang-xing, +3 authors Lifeng Published 2008 Mathematics In this paper, we systematically study the …
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 breadwinner\\u0027s hg網頁We survey recent wellposedness and illposedness results for the Cauchy problem for nonlinear Schrodinger equations in inhomogeneous media such as Riemannian … breadwinner\\u0027s he網頁2024年7月1日 · We study the global Cauchy problem for the equation iut+Δu+λ u αu=0 in ℝN. Using generalized Strichartz' inequalities we show that, under some restrictions on α, … cosori air fryer won\\u0027t heat up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, … cosori air fryer won\u0027t heat up網頁We consider the Cauchy problem for the following Hartree equation (1.1) i∂tu+∆u= K∗ u 2 u, t∈ R, x∈ Rd; u t=0 = u0, where Kdenotes the Hartree kernel. We first deal with the … cosori air fryer won\u0027t start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 … breadwinner\\u0027s hd網頁In the 2-d setting, given an solution to the linear Schrödinger equation , we prove the existence (but not uniqueness) of an solution to the defocusing nonlinear Schrödinger (NLS) equation for nonlinear powers an… cosori air fryer turn off beeping