Failure of scattering for the NLSE with a point interaction in dimension two and three
In this paper we consider the nonlinear Schrödinger (NLS) equation with power nonlinearity
and a point interaction (a'δ-potential'in the physical literature) in dimension two and three …
and a point interaction (a'δ-potential'in the physical literature) in dimension two and three …
Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph
We consider the nonlinear Schrödinger equations on the star graph with the Kirchhoff
boundary and the repulsive Dirac delta boundary at the origin. In the present paper, we …
boundary and the repulsive Dirac delta boundary at the origin. In the present paper, we …
Asymptotic behavior in time of solution for the cubic nonlinear Schrödinger equation on the tadpole graph
J Segata - Journal of Differential Equations, 2025 - Elsevier
The purpose of this paper is to study large time behavior of solution to the cubic nonlinear
Schrödinger equation on the tadpole graph which is a ring attached to a semi-infinite line …
Schrödinger equation on the tadpole graph which is a ring attached to a semi-infinite line …
A minimal mass blow-up solution on a nonlinear quantum star graph
The main contribution of this article is the construction of a finite time blow-up solution to the
mass-critical focusing nonlinear Schr\" odinger equation set on a metric star graph $\mathcal …
mass-critical focusing nonlinear Schr\" odinger equation set on a metric star graph $\mathcal …
Asymptotic behavior for the long-range nonlinear Schrödinger equation on the star graph with the Kirchhoff boundary condition
We consider the cubic nonlinear Schrödinger equation on the star graph with the Kirchhoff
boundary condition. We prove modified scattering for the final state problem and the initial …
boundary condition. We prove modified scattering for the final state problem and the initial …
PURE and APPLIED
K AOKI, T INUI, H MIYAZAKI, H MIZUTANI, K URIYA - projecteuclid.org
Background. We mainly consider the following cubic nonlinear Schrödinger equation (NLS)
on the star graph G with n-edges: i∂ t u+ K u+ λ| u| 2u= 0,(t, x)∈ I× G,(1-1) where I is a time …
on the star graph G with n-edges: i∂ t u+ K u+ λ| u| 2u= 0,(t, x)∈ I× G,(1-1) where I is a time …