On the orbital stability of inhomogeneous nonlinear Schr\"{o}dinger equations with singular potential
Bull. Korean Math. Soc.
Published online June 10, 2019
Yonggeun Cho and Misung Lee
Chonbuk National University
Abstract : We show the existence of ground state and orbital stability of standing waves of nonlinear Schr\"{o}dinger equations with singular linear potential and essentially mass-subcritical power type nonlinearity. For this purpose we establish the existence of ground state in $H^1$. We do not assume symmetry or monotonicity. We also consider local and global well-posedness of Strichartz solutions of energy-subcritical equations. We improve the range of inhomogeneous coefficient in \cite{guz} in 2 and 3 dimensions.
Keywords : inhomogeneous NLS, singular potential, ground state, orbital stability, well-posedness, Strichartz solution
MSC numbers : 33Q40, 35Q55
Full-Text :

   

Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang.co., Ltd