Results 21 to 30 of about 74 (32)

Existence, regularity, and symmetry of periodic traveling waves for Gardner-Ostrovsky type equations

open access: yes, 2023
We study the existence, regularity, and symmetry of periodic traveling solutions to a class of Gardner-Ostrovsky type equations, including the classical Gardner-Ostrovsky equation, the (modified) Ostrovsky, and the reduced (modified) Ostrovsky equation ...
Bruell, Gabriele, Pei, Long
core  

Global well-posedness and scattering for the defocusing mass-critical Schr\"odinger equation in the three-dimensional hyperbolic space

open access: yes, 2023
In this paper, we prove that the initial value problem for the mass-critical defocusing nonlinear Schr\"odinger equation on the three-dimensional hyperbolic space $\mathbb{H}^3$ is globally well-posed and scatters for data with radial symmetry in the ...
Wilson, Bobby, Yu, Xueying
core  

Global solutions for 3D nonlocal Gross-Pitaevskii equations with rough data

open access: yes, 2012
We study the Cauchy problem for the Gross-Pitaevskii equation with a nonlocal interaction potential of Hartree type in three space dimensions. If the potential is even and positive definite or a positive function and its Fourier transform decays ...
Pecher, Hartmut
core   +1 more source

On Strichartz estimates for many-body Schr\"odinger equation in the periodic setting

open access: yes
In this paper, we prove Strichartz estimates for many body Schr\"odinger equations in the periodic setting, specifically on tori $\mathbb{T}^d$, where $d\geq 3$. The results hold for both rational and irrational tori, and for small interacting potentials
Huang, Xiaoqi   +3 more
core  

On nonlinear Schrödinger equations in exterior domains [PDF]

open access: yes, 2004
Burq, N, Gérard, P, Tzvetkov, N
core   +1 more source

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