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On the logarithmic schrödinger equation

WebAbstract. We present a regularized finite difference method for the logarithmic Schrödinger equation (LogSE) and establish its error bound. Due to the blowup of the logarithmic … Web24 de jul. de 2024 · The logarithmic Schrödinger equation (log SE) is one of the nonlinear modi fi cations of Schrödinger ’ s equation, with applications in quantum optics [ 1 , 2 ] …

The stochastic logarithmic Schrödinger equation - ScienceDirect

Web10 de abr. de 2024 · We consider the dispersion managed power-law nonlinear Schrödinger (DM NLS) equations with a small parameter ɛ > 0 and the averaged … Web18 de fev. de 2024 · In this paper, we investigate semi-classical bound states for logarithmic Schrödinger type equations with a potential function which has a finite number of … self propelled corded electric lawn mowers https://colonialbapt.org

(PDF) On fractional logarithmic Schrödinger equations

Web1 de fev. de 2024 · Abstract. In this paper we prove global existence and uniqueness of solutions to the stochastic logarithmic Schrödinger equation with linear multiplicative noise. Our approach is mainly based on the rescaling approach and the method of maximal monotone operators. In addition, uniform estimates of solutions in the energy space H 1 ( … Web24 de jul. de 2024 · The time-independent logarithmic Schrödinger equation with a Coulomb interaction can be expressed (in atomic units) as where is a constant … The logarithmic Schrödinger equation is the partial differential equation. In mathematics and mathematical physics one often uses its dimensionless form: The relativistic version of this equation can be obtained by replacing the derivative operator with the D'Alembertian, similarly to the Klein–Gordon … Ver mais In theoretical physics, the logarithmic Schrödinger equation (sometimes abbreviated as LNSE or LogSE) is one of the nonlinear modifications of Schrödinger's equation. It is a classical wave equation with applications to … Ver mais • Nonlinear Schrödinger equation • Superfluid Helium-4 • Superfluid vacuum theory Ver mais • Weisstein, Eric W. "SchroedingerEquation". MathWorld. Ver mais self propelled cordless lawn mower

ON THE LOGARITHMIC SCHRÖDINGER EQUATION

Category:Multiple positive solutions for a Schrödinger logarithmic equation

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On the logarithmic schrödinger equation

Multiple positive solutions for a Schrödinger logarithmic equation

Web1 de ago. de 2003 · Abstract. We show that, under a suitable assumption on the pressure tensor, the mass and momentum balance equations of hydrodynamical theory, … Web25 de fev. de 2024 · Stochastic logarithmic Schrodinger equations: energy regularized approach. Jianbo Cui, Liying Sun. In this paper, we prove the global existence and …

On the logarithmic schrödinger equation

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Web31 de out. de 2024 · Logarithmic Schrödinger equation, Dirichlet boundary conditions, finite differences, Crank-Nicolson time stepping, error estimates. Mathematics Subject … Web19 de fev. de 2024 · Remi Carles, Chunmei Su. We consider the Schrodinger equation with a logarithmic nonlinearity and a repulsive harmonic potential. Depending on the …

Web1 de nov. de 2024 · Consider the logarithmic Schrödinger equation (LSE) given by i ∂ t ψ = H ψ ≡ − Δ ψ + V ψ + λ ψ log ψ 2 ∫ ψ 2 d x (1.1) with λ ∈ R, where Δ denotes the … Web1 de fev. de 2010 · In this paper we investigate the existence of a unique global mild solution in H 1 (R 3) of the initial-boundary value problem associated with the logarithmic …

WebIntroduction The logarithmic Schrödinger equation (1.1) i∂t φ + ∆φ + φ log φ 2 = 0, φ : [0, ∞) × Rn → C, n ≥ 3, admits applications to quantum mechanics, quantum optics, nuclear physics, transport and diffusion phe … Web7 de mar. de 2024 · We study the following fractional logarithmic Schrödinger equation: ( − Δ ) s u + V ( x ) u = u log u 2 , x ∈ R N , where N ≥ 1 , ( − Δ ) s denotes the fractional …

WebSchrödinger equation, the fundamental equation of the science of submicroscopic phenomena known as quantum mechanics. The equation, developed (1926) by the …

Web24 de mar. de 2024 · The Schrödinger equation describes the motion of particles in nonrelativistic quantum mechanics, and was first written down by Erwin Schrödinger. … self propelled craftsman lawn mowerself propelled corded mowerWeb23 de set. de 2013 · Abstract. In the framework of the nonsmooth critical point theory for lower semi-continuous functionals, we propose a direct variational approach to … self propelled craftsman lawn mower partsWeb25 de abr. de 2013 · On the logarithmic Schrodinger equation. In the framework of the nonsmooth critical point theory for lower semi-continuous functionals, we … self propelled cordless mowerWeb4 de nov. de 2024 · We analyze dynamical properties of the logarithmic Schrödinger equation under a quadratic potential. The sign of the nonlinearity is such that it is known … self propelled curved treadmillWeb29 de jul. de 2016 · Coffman C. V.: Uniqueness of the ground state solution for {\Delta u + u^ {3} - u = 0} and variational characterization of other solutions. Arch. Rat. Mech. Anal. … self propelled craftsman lawn mower costWeb1 de fev. de 2024 · Résumé Dans cet article on démontre l'existence et l'unicité globale des solutions pour les équations stochastiques logarithmiques du type Schrödinger avec … self propelled cordless snow blower