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Constrained minimization problem and unbounded dynamics for the four-dimensional Klein-Gordon-Schrödinger System
Masaru Hamano, Hiroaki Kikuchi, Kenta Tomioka
In this paper, we study the Klein-Gordon-Schrodinger system in four spatial dimensions. We consider a constrained minimization problem associated with the corresponding stationary…
Transverse Instability and Bifurcation Analysis of the line soliton for the NLS equation on a Fractured Strip
Hiroaki Kikuchi, Boris Shakarov, Kenta Tomioka
We consider the nonlinear Schrödinger equation on a two-dimensional strip with an attractive interaction and power nonlinearity. We investigate the transverse stability and bif…
Global strong solutions of the coupled Klein-Gordon-Schrödinger equations
Tohru Ozawa, Kenta Tomioka
We study the initial-boundary value problem for the coupled Klein-Gordon-Schrödinger equations in a domain in with . Under natural assumptions on the initia…
Schrödinger-improved Boussinesq system in two space dimensions
Tohru Ozawa, Kenta Tomioka
We study the Cauchy problem for the Schrödinger-improved Boussinesq system in a two dimensional domain. Under natural assumptions on the data without smallness, we prove the existe…