Cover Image

Determining metrics from the scattering map of the time-dependent Schrödinger equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Jia, Qiuye
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs Mathematical Physics Differential Geometry 35R30, 35Q41, 35S30, 81U40, 35S05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The scattering map for the Schrodinger operator on curved spaces
by: Hassell, Andrew, et al.
Published: (2026)

Inverse scattering for the multipoint potentials of Bethe-Peierls-Thomas-Fermi type
by: Kuo, Pei-Cheng, et al.
Published: (2025)

Normalized solutions of nonlinear magnetic Schrödinger equations on metric graphs
by: d'Avenia, Pietro, et al.
Published: (2025)

Pointwise dispersive estimates for Schrodinger and wave equations in a conical singular space
by: Jia, Qiuye, et al.
Published: (2024)

The final state problem for the nonlinear Schrodinger equation in dimensions 1, 2 and 3
by: Hassell, Andrew, et al.
Published: (2024)

Nonlinear Dirac equations on noncompact quantum graphs with potentials: Multiplicity and Concentration
by: Gu, Guangze, et al.
Published: (2025)

Nonrelativistic limit of bound-state solutions for nonlinear Dirac equation on noncompact quantum graphs
by: Gu, Guangze, et al.
Published: (2025)

The initial-to-final-state inverse problem with time-independent potentials
by: Cañizares, Manuel, et al.
Published: (2025)

Time dependent Schrödinger equation for harmonic oscillator in the Aharonov-Bohm magnetic field
by: Fan, Jiyu, et al.
Published: (2026)

Functional-Analytic Justification of the Time-Domain Foldy-Lax Approximation for Dispersive Acoustic Media: A Feynman-Diagram Viewpoint
by: Mukherjee, Arpan, et al.
Published: (2025)

Inverse scattering for the nonlinear magnetic Schrodinger equation
by: Wei, Lei, et al.
Published: (2025)

Rigorous derivation of an effective model for periodic Schrödinger equations with linear band crossing of Dirac type
by: Danesi, Elena
Published: (2026)

Ground states for the NLS on non-compact graphs with an attractive potential
by: Adami, Riccardo, et al.
Published: (2025)

The Semi-Classical Limit from the Dirac Equation with Time-Dependent External Electromagnetic Field to Relativistic Vlasov Equations
by: Golse, François, et al.
Published: (2025)

Nonrelativistic limit of normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities
by: He, Zhentao, et al.
Published: (2025)

Bound states of nonlinear Dirac equations on periodic quantum graphs
by: Yang, Zhipeng, et al.
Published: (2025)

Spectral properties and bound states of the Dirac equation on periodic quantum graphs
by: Yang, Zhipeng, et al.
Published: (2026)

Asymptotic Momentum of Dirac Particles in One Space Dimension
by: Narayanan, Kabir, et al.
Published: (2025)

Inverse problem for wave equation of memory type with acoustic boundary conditions: Global solvability
by: Totieva, Zhanna D., et al.
Published: (2025)

Inverse problem for the geometric Navier-Stokes equations
by: Kian, Yavar, et al.
Published: (2026)

Strichartz estimates for a class of Schrödinger equations with a drift
by: Buseghin, Federico, et al.
Published: (2025)

On spectral stability of one- and bi-frequency solitary waves in Soler model in (3+1)D
by: Boussaïd, Nabile, et al.
Published: (2024)

Asymptotic stability of steady states for the compressible Navier-Stokes-Riesz system in the presence of vacuum
by: Carrillo, José A., et al.
Published: (2026)

The initial-to-final-state inverse problem with critically-singular potentials
by: Cañizares, Manuel, et al.
Published: (2026)

Dispersive equations with invariant measures
by: Garofalo, Nicola
Published: (2025)

Tunneling estimates for two-dimensional perturbed magnetic Dirac systems
by: Cárdenas, Esteban, et al.
Published: (2023)

Dirac solitons in one-dimensional nonlinear Schrödinger equations
by: Borrelli, William, et al.
Published: (2025)

Forward and backward problems for abstract time-fractional Schrödinger equations
by: Chorfi, S. E., et al.
Published: (2025)

Asymptotic analysis of time-fractional quantum diffusion
by: Hislop, Peter D., et al.
Published: (2024)

The higher-order fractional Schrödinger equation with nonlinear local perturbations: Uniqueness
by: Covi, Giovanni, et al.
Published: (2025)

On microlocalisation and the construction of Feynman Propagators for normally hyperbolic operators
by: Islam, Onirban, et al.
Published: (2020)

Existence and invariant measure of pullback attractors for 3D Navier-Stokes-Voigt equations with delay
by: Qin, Yuming, et al.
Published: (2024)

Large time behavior for solutions to the anisotropic Navier-Stokes equations in a 3D half-space
by: Fujii, Mikihiro, et al.
Published: (2024)

The DC Kerr Effect in Nonlinear Optics
by: Eptaminitakis, Nikolas, et al.
Published: (2025)

Shape Taylor expansion for wave scattering problems
by: Bao, Gang, et al.
Published: (2025)

Bounded Time Inverse Scattering for Semilinear Dirac Equation
by: Yi, Yuchao
Published: (2024)

Egorov's theorem in the Weyl--Hörmander calculus
by: Prouff, Antoine
Published: (2024)

Improved Sobolev Inequalities on the Quaternionic Sphere
by: Ren, Zongxiong, et al.
Published: (2026)

Algebraic method of group classification for semi-normalized classes of differential equations
by: Kurujyibwami, Celestin, et al.
Published: (2024)

Determining nonlinear balance laws in product-type domains by a single local passive boundary observation
by: Duan, Chaohua, et al.
Published: (2025)