On Existence and Stability Results for Normalized Ground States of Mass-Subcritical Biharmonic Nonlinear Schrödinger Equation on \(\boldsymbol{\mathbb{R}^{{d}}\times \mathbb{T}^{{n}}}\)-Reference-Cited by-同舟云学术

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On Existence and Stability Results for Normalized Ground States of Mass-Subcritical Biharmonic Nonlinear Schrödinger Equation on \(\boldsymbol{\mathbb{R}^{{d}}\times \mathbb{T}^{{n}}}\)

Published:2024-07-01 Issue:4 Volume:56 Page:4415-4439
ISSN:0036-1410
Container-title:SIAM Journal on Mathematical Analysis
language:en
Short-container-title:SIAM J. Math. Anal.

Author:

Hajaiej Hichem¹,Luo Yongming²^ORCID,Song Lingjie³

Affiliation:

1. Department of Mathematics, California State University LA, Los Angeles, CA 90032 USA.

2. Faculty of Computational Mathematics and Cybernetics, Shenzhen MSU-BIT University, International University Park Road 1, Shenzhen, China.

3. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China; Institute of Mathematics, AMSS, Chinese Academy of Science, Beijing, 100190, China; and University of Chinese Academy of Science, Beijing, 100049, China.

Funder

Shuimu Tsinghua Scholar Program

Deutsche Forschungsgemeinschaft

National Natural Science Foundation of China

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Reference29 articles.

1. Stability of the soliton-like “bubbles”

2. Orbitally Stable Standing Waves of a Mixed Dispersion Nonlinear Schrödinger Equation

3. Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime

4. Strong Instability of Ground States to a Fourth Order Schrödinger Equation

5. Blowup for biharmonic NLS

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