A NOTE ON THE EXISTENCE OF A GROUND STATE SOLUTION TO A FRACTIONAL SCHRÖDINGER EQUATION
スポンサーリンク
概要
- 論文の詳細を見る
In this paper we show the existence of a non-trivial solution to a fractional Schrödinger equation, which turns out to be a global minimizer of a variational problem. We give a sharp condition for the existence of global minimizers. To do this we develop a new compactification scheme of angularly regular solutions.
- 九州大学大学院数理学研究院の論文
著者
-
Cho Yonggeun
Department Of Mathematics And Institute Of Pure And Applied Mathematics Chonbuk National Univerrsity
-
Ozawa Tohru
Department Of Applied Physics Waseda University
-
Cho Yonggeun
Department Of Mathematics And Institute Of Pure And Applied Mathematics Chonbuk National University
関連論文
- Some mixed norm estimates of free Schrodinger waves (Harmonic Analysis and Nonlinear Partial Differential Equations)
- On the global existence of semirelativistic Hartree equations (Harmonic Analysis and Nonlinear Partial Differential Equations)
- Sensitization of the Adenylyl Cyclase System in Cloned κ-Opioid Receptor-Transfected Cells Following Sustained Agonist Treatment : A Chimeric Study Using G Protein α_/α_q Subunits
- Necessary and Sufficient Conditions for the Fractional Gagliardo-Nirenberg Inequalities and Applications to Navier-Stokes and Generalized Boson Equations (Harmonic Analysis and Nonlinear Partial Differential Equations)
- Lower Bounds for Order of Decay or of Growth in Time for Solutions to Linear and Non-Linear Schrodinger Equations
- Lower $L\sp p$-Bounds for Scattering Solutions of the Schrodinger Equations
- New $L\sp p$-Estimates for Solutions to the Schrodinger Equations and Time Asymptotic Behavior of Observables
- The Cauchy Problem for Nonlinear Klein-Gordon Equations in the Sobolev Spaces
- An endpoint Strichartz estimate in spherical coordinates (Harmonic Analysis and Nonlinear Partial Differential Equations)
- Structural relations and pseudosymmetries in the andorite homologous series
- Structural relations and pseudosymmetries in the andorite homologous series
- A NOTE ON THE EXISTENCE OF A GROUND STATE SOLUTION TO A FRACTIONAL SCHRÖDINGER EQUATION