1. Normalized solutions of one-dimensional defocusing NLS equations with nonlinear point interactions
   2025/03/27 by Barbera, Daniele, Boni, Filippo, Dovetta, Simone +1 · 1 citation
   #35Q40 #35Q55 #35R06 #49J40 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
2. On the cubic-quintic Schrödinger equation
   2025/02/13 by Baldelli, Laura · 1 citation
   #35Q40 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
3. Numerical Optimization of Eigenvalues of the magnetic Dirichlet Laplacian with constant magnetic field
   2024/12/09 by Baur, Matthias · 1 citation
   #35P15 #35Q40 #49Q10 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Optimization and Control (math.OC) #Spectral Theory (math.SP)
4. Continuous Topological Insulators Classification and Bulk Edge Correspondence
   2024/12/01 by Bal, Guillaume · 3 citations
   #35Q40 #35S35 #47A53 #47A60 #47G30 #81Q10 #FOS: Physical sciences #Mathematical Physics (math-ph)
5. On the magnetic Dirichlet to Neumann operator on the disk -- strong diamagnetism and strong magnetic field limit--
   2024/11/23 by Bernard, Helffer, François, Nicoleau · 2 citations
   #35P20 #35Q40 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
6. On the well-posedness of the periodic fractional Schrödinger equation
   2024/10/10 by Sanchez, Beckett, Riaño, Oscar, Roudenko, Svetlana · 1 citation
   #35A01 #35B10 #35Q40 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
7. Standing waves for nonlinear Hartree type equations: existence and qualitative properties
   2024/09/30 by Böer, Eduardo de Souza, Santos, Ederson Moreira dos · 1 citation
   #35B06 #35B40 #35J47 #35J50 #35J60 #35Q40 #35Q92 #Analysis of PDEs (math.AP) #FOS: Mathematics
8. The global dynamics for the Maxwell-Dirac system
   2024/06/27 by Yonggeun Cho, Cho, Yonggeun, Kiyeon Lee +1 · 2 citations
   Mathematics · Physics and Astronomy · #35Q40 #35Q41 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Numerical methods for differential equations #Quantum chaos and dynamical systems
9. On the Laplace operator with a weak magnetic field in exterior domains
   2024/05/28 by Ayman Kachmar, Kachmar, Ayman, Vladimir Lotoreichik +3 · 2 citations
   Computer Science · Mathematics · #34L15 #35P15 #35Q40 #58J50 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory (math.SP)
10. Scattering results for the (1+4) dimensional massive Maxwell-Dirac system under Lorenz gauge condition
    2023/12/21 by Lee, Kiyeon · 1 citation
    #35Q40 #35Q41 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
11. Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains
    2023/02/06 by Marco Ghimenti, Ghimenti, Marco G., Min Liu +3 · 1 citation
    Computer Science · Mathematics · #35J66 #35Q40 #35R11 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations
12. The modified scattering for Dirac equations of scattering-critical nonlinearity
    2022/08/25 by Cho, Yonggeun, Kwon, Soonsik, Lee, Kiyeon +1 · 2 citations
    #35Q40 #35Q41 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
13. Global Existence and Vanishing Dispersion Limit of Strong/Classical Solutions to the One-dimensional Compressible Quantum Navier-Stokes Equations with Large Initial Data
    2022/04/13 by Chen, Zhengzheng, Zhao, Huijiang · 1 citation
    #35B40 #35Q40 #76N10 #Analysis of PDEs (math.AP) #FOS: Mathematics
14. Applications of the landscape function for Schrödinger operators with singular potentials and irregular magnetic fields
    2021/07/29 by Poggi, Bruno · 3 citations
    #35J08 #35J10 #35J15 #35J47 #35J75 #35P20 #35Q40 #35Q60 #81Q10 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
15. Small data scattering of 2d Hartree type Dirac equations
    2021/07/29 by Cho, Yonggeun, Ozawa, Tohru, Lee, Kiyeon · 2 citations
    #35Q40 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
16. Local well-posedness of Dirac equations with nonlinearity derived from honeycomb structure in 2 dimensions
    2021/06/05 by Lee, Kiyeon · 1 citation
    #35Q40 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
17. The limiting absorption principle for massless Dirac operators, properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators
    2021/05/07 by Carey, Alan, Gesztesy, Fritz, Levitina, Galina +3 · 2 citations
    #35Q40 #47A40 #81Q10 #FOS: Mathematics #Primary: 35P25 #Secondary: 47A10 #Spectral Theory (math.SP)
18. An introduction to multiscale techniques in the theory of Anderson localization. Part I
    2021/04/29 by Schlag, Wilhelm · 1 citation
    #34F15 #35Q40 #47B80 #60H25 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
19. High contrast elliptic operators in honeycomb structures
    2021/03/30 by Cassier, Maxence, Weinstein, Michael I. · 1 citation
    #34Q60 #35P99 #35Q40 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Optics (physics.optics) #Spectral Theory (math.SP)
20. Symmetric solutions for a 2D critical Dirac equation
    2020/10/09 by Borrelli, William · 1 citation
    #35A15 #35B33 #35Q40 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
21. The method of super-solutions in Hardy and Rellich type inequalities in the L² setting: an overview of well-known results and short proofs
    2020/03/26 by Cazacu, Cristian · 1 citation
    #34A40 #34K38 #35A23 #35B09 #35Q40 #35R45 #Analysis of PDEs (math.AP) #FOS: Mathematics
22. The mean-field limit of quantum Bose gases at positive temperature
    2020/01/06 by Fröhlich, Jürg, Knowles, Antti, Schlein, Benjamin +1 · 3 citations
    #35Q40 #35Q55 #60G60 #81V70 #82B10 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
23. Semiclassical limit of Gross-Pitaevskii equation with Dirichlet boundary condition
    2019/11/08 by Guilong Gui, Gui, Guilong, Ping Zhang +1 · 1 citation
    Mathematics · Physics and Astronomy · #35Q40 #35Q55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics
24. Vortex lattice solutions of the ZHK Chern-Simons equations
    2019/10/21 by Rajaratnam, Krishan, Sigal, Israel Michael · 1 citation
    #35Q40 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
25. A microscopic derivation of Gibbs measures for nonlinear Schr "odinger\n equations with unbounded interaction potentials
    2019/04/17 by Vedran Sohinger, Sohinger, Vedran · 2 citations
    Mathematics · Physics and Astronomy · #35Q40 #35Q55 #60G60 #81V70 #82B10 #Advanced Mathematical Physics Problems #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum Mechanics and Applications
26. The bulk-edge correspondence for continuous honeycomb lattices
    2019/01/18 by Drouot, Alexis · 3 citations
    #35P15 #35P25 #35Q40 #35Q41 #Analysis of PDEs (math.AP) #FOS: Mathematics
27. The bulk-edge correspondence for continuous dislocated systems
    2018/10/24 by Drouot, Alexis · 2 citations
    #19K56 #19L10 #35P15 #35P25 #35Q40 #35Q41 #Analysis of PDEs (math.AP) #FOS: Mathematics
28. Anisotropic liquid drop models
    2018/10/18 by Choksi, Rustum, Neumayer, Robin, Topaloglu, Ihsan · 2 citations
    #35Q40 #35Q70 #49Q20 #49S05 #82D10 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
29. Defect modes for dislocated periodic media
    2018/10/13 by Drouot, Alexis, Fefferman, Charles L., Weinstein, Michael I. · 2 citations
    #35P15 #35P25 #35Q40 #35Q41 #Analysis of PDEs (math.AP) #FOS: Mathematics
30. On the radius of spatial analyticity for cubic nonlinear Schrödinger equation
    2017/06/14 by Tesfahun, Achenef · 1 citation
    #35L70 #35Q40 #81V10 #Analysis of PDEs (math.AP) #FOS: Mathematics

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