Local well-posedness for nonlinear Schr\'odinger equations on compact product manifolds

Authors: Zhang, Yunfeng

Subject Terms: Mathematics - Analysis of PDEs, 35P20, 35Q55, 58J50

Access URL: http://arxiv.org/abs/2503.09442

Coupled nonlinear Schr\'odinger equations with point interaction: existence and asymptotic behaviour

Authors: Osada, Yuki, Pomponio, Alessio

Subject Terms: Mathematics - Analysis of PDEs, 35J50, 35Q55, 35J47

Access URL: http://arxiv.org/abs/2503.09438

On the dispersive estimates for the discrete Schr\'odinger equation on a honeycomb lattice

Authors: Hong, Younghun, Tadano, Yukihide, Yang, Changhun

Subject Terms: Mathematics - Analysis of PDEs, 37K60, 35Q55, 42B20

Access URL: http://arxiv.org/abs/2503.08996

Threshold for the existence of scattering states for nonlinear Schr\'odinger equations without gauge invariance

Authors: Miyazaki, Hayato, Sobajima, Motohiro

Subject Terms: Mathematics - Analysis of PDEs, 35Q55, 35P25

Access URL: http://arxiv.org/abs/2503.07983

Abscence of embedded spectrum for nonlinear Schr\'odinger equations linearized around one dimensional ground states

Authors: Collot, Charles, Germain, Pierre, Pacherie, Eliot

Subject Terms: Mathematics - Analysis of PDEs, 35Q55, 35Q51

Access URL: http://arxiv.org/abs/2503.02957

Estimates for the Gross-Pitaevskii equation linearized around a vortex

Authors: Collot, Charles, Germain, Pierre, Pacherie, Eliot

Subject Terms: Mathematics - Analysis of PDEs, 35Q55, 35Q51, 37K40, 37K45

Access URL: http://arxiv.org/abs/2503.02953

Radial symmetry, uniqueness and non-degeneracy of solutions to degenerate nonlinear Schr\'odinger equations

Authors: Gou, Tianxiang

Subject Terms: Mathematics - Analysis of PDEs, 35Q55, 35B35

Access URL: http://arxiv.org/abs/2503.00708

Refinement of the $L^{2}$-decay estimate of solutions to nonlinear Schr\'odinger equations with attractive-dissipative nonlinearity

Authors: Kita, Naoyasu, Miyazaki, Hayato, Sato, Takuya

Subject Terms: Mathematics - Analysis of PDEs, 35Q55, 35B40

Access URL: http://arxiv.org/abs/2502.20713

Existence and Stability of Ground States for the Defocusing Nonlinear Schr\'odinger Equation on Quantum Graphs

Authors: Durand-Simonnet, Élio, Shakarov, Boris

Subject Terms: Mathematics - Analysis of PDEs, Mathematical Physics, 35Q55, 35A15, 35B38, 37K45

Access URL: http://arxiv.org/abs/2502.18014

A comprehensive study of bound-states for the nonlinear Schr\'odinger equation on single-knot metric graphs

Authors: Agostinho, Francisco, Correia, Simão, Tavares, Hugo

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, 34C37, 35R02, 35Q55, 70K05

Access URL: http://arxiv.org/abs/2502.14097

On the cubic-quintic Schr\'odinger equation

Authors: Baldelli, Laura

Subject Terms: Mathematics - Analysis of PDEs, 35Q55, 35Q40

Access URL: http://arxiv.org/abs/2502.09196

Efficient finite element methods for semiclassical nonlinear Schr\'odinger equations with random potentials

Authors: Li, Panchi, Zhang, Zhiwen

Subject Terms: Mathematics - Numerical Analysis, 35Q55, 65M60, 81Q05, 47H40

Access URL: http://arxiv.org/abs/2502.07569

Scattering for defocusing cubic NLS under locally damped strong trapping

Authors: Lafontaine, David, Shakarov, Boris

Subject Terms: Mathematics - Analysis of PDEs, 35Q55, 35B40

Access URL: http://arxiv.org/abs/2502.06306

Existence and stability of soliton-based frequency combs in the Lugiato-Lefever equation

Authors: Bengel, Lukas, de Rijk, Björn

Subject Terms: Mathematics - Analysis of PDEs, Mathematical Physics, Primary, 35B10, 35Q55, 35B35, Secondary, 35C08, 34C23

Access URL: http://arxiv.org/abs/2502.03189

Well-posedness for the dNLS hierarchy

Authors: Adams, Joseph

Subject Terms: Mathematics - Analysis of PDEs, 35Q55 (Primary) 35Q41 (Secondary)

Access URL: http://arxiv.org/abs/2502.02181

Multiple front and pulse solutions in spatially periodic systems

Authors: Bengel, Lukas, de Rijk, Björn

Subject Terms: Mathematics - Analysis of PDEs, Primary, 34L05, 35B10, 35B35, Secondary, 34C37, 35K57, 35Q55

Access URL: http://arxiv.org/abs/2502.02467

Quantitative Derivation of the Two-Component Gross-Pitaevskii Equation with Uniform-in-Time Convergence Rate

Authors: Chong, Jacky, Lee, Jinyeop, Sun, Zhiwei

Subject Terms: Mathematical Physics, Mathematics - Analysis of PDEs, 82C10(Primary), 35Q55(Secondary)

Access URL: http://arxiv.org/abs/2501.18787

Phase transitions for fractional $\Phi^3_d$ on the torus

Authors: Nikov, Niko

Subject Terms: Mathematics - Probability, Mathematical Physics, Mathematics - Analysis of PDEs, 60H30 (Primary) 81T08, 82B26, 35Q55 (Secondary)

Access URL: http://arxiv.org/abs/2501.17669

Ground States for the NLS on graphs with an attractive potential

Authors: Adami, Riccardo, Gallo, Ivan, Spitzkopf, David

Subject Terms: Mathematics - Analysis of PDEs, Mathematical Physics, 35R02, 35Q55, 81Q35, 49J40, 58E30

Access URL: http://arxiv.org/abs/2501.10767

Dispersive decay for the energy-critical nonlinear wave equation

Authors: Kowalski, Matthew

Subject Terms: Mathematics - Analysis of PDEs, 35Q55

Access URL: http://arxiv.org/abs/2501.06387