Minimal Mass Blow-Up Solutions for the \(\boldsymbol{L}^{\boldsymbol{2}}\)-Critical NLS with the Delta Potential for Even Data in One Dimension-Reference-Cited by-同舟云学术

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Minimal Mass Blow-Up Solutions for the \(\boldsymbol{L}^{\boldsymbol{2}}\)-Critical NLS with the Delta Potential for Even Data in One Dimension

Published:2024-03-01 Issue:2 Volume:56 Page:1727-1769
ISSN:0036-1410
Container-title:SIAM Journal on Mathematical Analysis
language:en
Short-container-title:SIAM J. Math. Anal.

Author:

Tang Xingdong¹,Xu Guixiang²^ORCID

Affiliation:

1. School of Mathematics and Statistics, Nanjing Univeristy of Information Science and Technology, Nanjing 210044, People’s Republic of China.

2. Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing 100875, People’s Republic of China.

Funder

National Key Research and Development Program of China

National Natural Science Foundation of China

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Reference65 articles.

1. Existence of dynamics for a 1D NLS equation perturbed with a generalized point defect

2. Solvable Models in Quantum Mechanics

3. Minimal Blow-Up Solutions to the Mass-Critical Inhomogeneous NLS Equation

4. Scattering for NLS with a delta potential

5. Nonlinear scalar field equations, I existence of a ground state

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