On the logarithmic schrödinger equation

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August undefined, 2024

Web25 de abr. de 2013 · On the logarithmic Schrodinger equation. In the framework of the nonsmooth critical point theory for lower semi-continuous functionals, we … 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 …

Global H1 solvability of the 3D logarithmic Schrödinger equation

Web29 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. … Web1 de jan. de 2024 · A. H. Ardila, Existence and stability of standing waves for nonlinear fractional Schrödinger equation with logarithmic nonlinearity, Nonlinear Analysis, 155 (2024), 52-64. some men are born posthumously meaning

Solution of the logarithmic Schrödinger equation with a Coulomb ...

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 … Web4 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 … 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 … small business sale contract template free

Schrodinger equation Explanation & Facts Britannica

(PDF) On fractional logarithmic Schrödinger equations

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 … 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 … some men see things as they are and say whyThe 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 some members of the light brigade

"Web1 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 … " - On the logarithmic schrödinger equation

On the logarithmic schrödinger equation

Error Estimates of a Regularized Finite Difference Method for the ...

Web30 de abr. de 2024 · This article concerns with the existence of multiple positive solutions for the following logarithmic Schrödinger equation. { − ϵ 2 Δ u + V ( x) u = u log u 2, in R … Web25 de abr. de 2013 · The logarithmic Sch r¨ odinger equation i∂ t φ +∆ φ + φ lo g φ 2 =0 ,φ :[ 0 , ∞ ) × R n → C ,n ≥ 3 , (1.1) admits applications to quantum mechanics, quantum …

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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, … Web23 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 …

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 … 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 …

Web31 de out. de 2024 · Logarithmic Schrödinger equation, Dirichlet boundary conditions, finite differences, Crank-Nicolson time stepping, error estimates. Mathematics Subject …

WebIn the framework of the nonsmooth critical point theory for lower semi-continuous functionals, we propose a direct variational approach to investigate the existence of …

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 … small business sale cgtWebSchrödinger equation, the fundamental equation of the science of submicroscopic phenomena known as quantum mechanics. The equation, developed (1926) by the … some men want to watch the world burn gifWebIntroduction 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 … small business sales agreement templateWeb24 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 ] … small business sales agreement formWeb10 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 … some mental health problemsWeb1 de jun. de 2024 · The logarithmic Schrödinger equation (LogSE) on unbounded domains plays an important role in studies of nonlinear wave mechanics (1) i ∂ t ψ ( x, t) … small business sales corporate travelWeb1 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 ( … small business sales contract