1 citations · 1 across the 3 of their papers we have counts for
5 papers
Threshold solutions for the 3D focusing cubic-quintic nonlinear Schrodinger equation at low frequencies
Masaru Hamano, Hiroaki Kikuchi, Minami Watanabe
This paper addresses the focusing cubic-quintic nonlinear Schrodinger equation in three space dimensions. Especially, we study the global dynamics of solutions whose energy and mas…
Transverse stability of line soliton and characterization of ground state for wave guide Schrödinger equations
Yakine Bahri, Slim Ibrahim, Hiroaki Kikuchi
In this paper, we study the transverse stability of the line Schrödinger soliton under a full wave guide Schrödinger flow on a cylindrical domain . When t…
Non-uniqueness for an energy-critical heat equation on
Slim Ibrahim, Hiroaki Kikuchi, Kenji Nakanishi +1
We construct a singular solution of a stationary nonlinear Schrödinger equation on with square-exponential nonlinearity having linear behavior around zero. In view o…
Linear instability and nondegeneracy of ground state for combined power-type nonlinear scalar field equations with the Sobolev critical exponent and large frequency parameter
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi
We consider combined power-type nonlinear scalar field equations with the Sobolev critical exponent. In \cite{AIKN3}, it was shown that if the frequency parameter is sufficiently s…
Remarks on solitary waves and Cauchy problem for a Half-wave-Schrödinger equations
Yakine Bahri, Slim Ibrahim, Hiroaki Kikuchi
In this paper, we study the solitary wave and the Cauchy problem for Half-wave-Schrödinger equations in the plane. First, we show the existence and orbital stability of the ground…