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On the logarithmic schrödinger equation

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 …

Multiple positive solutions for a Schrödinger logarithmic equation

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 … 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 … should i breastfeed when sick https://thehiltys.com

Numerical Methods for Some Nonlinear Schrödinger Equations in …

Web1 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) … 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, … 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 should i brine and inject my turkey

(PDF) On the logarithmic Schrodinger equation - ResearchGate

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On the logarithmic schrödinger equation

Logarithmic Schrödinger equation - Wikipedia

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 …

On the logarithmic schrödinger equation

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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 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 …

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 logarithmic Schrödinger equation (log SE) is one of the nonlinear modi fi cations of Schrödinger ’ s equation, with applications in quantum optics [ 1 , 2 ] …

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. … 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 …

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 …

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 … sba vetcert searchWeb1 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 … should i brine boston butt before smokingWeb1 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 … should i brine a pork loin roastWeb24 de mar. de 2024 · The Schrödinger equation describes the motion of particles in nonrelativistic quantum mechanics, and was first written down by Erwin Schrödinger. … should i brine chicken before smokingWeb1 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. sba veteran contracting assistance programsWeb10 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 … should i brine chicken drumsticksWeb31 de out. de 2024 · Logarithmic Schrödinger equation, Dirichlet boundary conditions, finite differences, Crank-Nicolson time stepping, error estimates. Mathematics Subject … sba verify minority owned business