Paper Citation Record · LEDGER

Existence of Solutions for time-dependent fractional Kohn-Sham Equations

As of 9 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2606.01321.

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pith.paper-citation-record.v1
2606.01321 v1

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measured 35 of 35 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-28T16:48:25.677497Z

measured 35 of 35 standing notices

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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35 of 35 outbound references displayed

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Outbound references

Observation 0583af3b-4e17-431f-828f-a59fc6381ec1 · outbound

This paper cites Bahouri, J.-Y.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Bahouri, J.-Y

Reference 1

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Observation 88c5ad3b-4faf-4dc4-b327-ba51891a73a1 · outbound

This paper cites OnL p -L p′ estimates for the wave-equation.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations OnL p -L p′ estimates for the wave-equation

Reference 2

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Observation 9431131b-0ecf-4d8a-8f00-9cc5b7e97a02 · outbound

This paper cites Breteaux, J.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Breteaux, J

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-07-01T21:36:14.791879Z

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Observation 7577e6ec-38b0-4855-a51e-8853df31a0f5 · outbound

This paper cites Breteaux, Faupin J., and Grasselli V.Exponential Decay outside of the Light Cone for the Pseudo-Relativistic Non-Autonomous Schr¨ odinger Equation.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Breteaux, Faupin J., and Grasselli V.Exponential Decay outside of the Light Cone for the Pseudo-Relativistic Non-Autonomous Schr¨ odinger Equation

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-07-01T21:36:14.794857Z

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Observation a29066e6-afa0-4fce-a609-076e0dec43ee · outbound

This paper cites Cazenave.Semilinear Schrodinger Equations.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Cazenave.Semilinear Schrodinger Equations

Reference 5

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Observation 71cd9dca-c73a-49ec-b803-42c54c3da60f · outbound

This paper cites The Cauchy problem for the nonlinear Schr¨ odinger equation in H1.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations The Cauchy problem for the nonlinear Schr¨ odinger equation in H1

Reference 6

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Observation c39a96b7-e254-4388-961c-48052a2875ad · outbound

This paper cites Hitchhiker guide to the fractional Sobolev spaces.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Hitchhiker guide to the fractional Sobolev spaces

Reference 7

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Observation b78b2819-df77-429c-8481-eac5e3913f19 · outbound

This paper cites Linear response and resonances in adiabatic time-dependent density functional theory.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Linear response and resonances in adiabatic time-dependent density functional theory

Reference 8

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Observation 8a372f42-955f-4b60-a983-847505ac3467 · outbound

This paper cites Engel and R.M.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Engel and R.M

Reference 9

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Observation ec0a7f8b-a212-4c9a-8c80-93b240f35c4c · outbound

This paper cites Un metodo statistico per la determinazione di alcune prioprieta dell’atomo.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Un metodo statistico per la determinazione di alcune prioprieta dell’atomo

Reference 10

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Observation f3f88244-db3d-42e6-b753-70d3d7a8e6d6 · outbound

This paper cites Coulomb potentials and Taylor expansions in time-dependent density-functional theory.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Coulomb potentials and Taylor expansions in time-dependent density-functional theory

Reference 11

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Observation ea295ae6-d213-49be-bd95-fff312eb8ff2 · outbound

This paper cites The global Cauchy problem for the non linear Klein-Gordon equation-II.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations The global Cauchy problem for the non linear Klein-Gordon equation-II

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-28T16:48:25.677497Z

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Observation c40f8f27-c0a9-42db-93bc-fac6be581d0f · outbound

This paper cites Grafakos and K.A.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Grafakos and K.A

Reference 13

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Observation 0122c26a-6d49-4b55-9a3a-dd450a733328 · outbound

This paper cites Global well-posedness for the fractional nonlinear Schr¨ odinger equa- tion.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Global well-posedness for the fractional nonlinear Schr¨ odinger equa- tion

Reference 14

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Observation c6787ec0-031b-4085-b25d-e1dc83e975e2 · outbound

This paper cites Decay estimates for a class of wave equations.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Decay estimates for a class of wave equations

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-28T16:48:25.677497Z

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Observation 7a8f3b3a-f9c8-41f6-82bd-893bb9610725 · outbound

This paper cites Inhomogeneous Electron Gas.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Inhomogeneous Electron Gas

Reference 16

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Observation 92bf624b-dea0-48b2-9703-1ad32381786c · outbound

This paper cites Time dependent closed quantum systems: Nonlinear Kohn–Sham potential operators and weak solutions.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Time dependent closed quantum systems: Nonlinear Kohn–Sham potential operators and weak solutions

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-28T16:48:25.677497Z

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Observation 4df45548-b1de-4732-bd36-69532f0ec711 · outbound

This paper cites Self-Consistent Equations Including Exchange and Correlation Effects.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Self-Consistent Equations Including Exchange and Correlation Effects

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-28T16:48:25.677497Z

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Observation 5f3d7786-b47e-4fcd-bea8-55d60d45d079 · outbound

This paper cites Mapping from Densities to Potentials in Time-Dependent Density- Functional Theory.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Mapping from Densities to Potentials in Time-Dependent Density- Functional Theory

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-28T16:48:25.677497Z

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Observation 7e58e284-92ec-4d7c-980a-a89a71f261da · outbound

This paper cites Well-posedness for semi-relativistic Hartree equations of critical type.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Well-posedness for semi-relativistic Hartree equations of critical type

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-28T16:48:25.677497Z

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Observation 32711fc5-2ff9-437e-8624-9d884409025e · outbound

This paper cites Universal variational functionals of electron densities, first-order density ma- trices, and natural spin-orbitals and solution of the ¡i¿v¡/i¿-representability problem.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Universal variational functionals of electron densities, first-order density ma- trices, and natural spin-orbitals and solution of the ¡i¿v¡/i¿-representability problem

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-28T16:48:25.677497Z

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Observation 163f93f5-bf5f-4d1a-adac-72a50b5a7292 · outbound

This paper cites Universal functionals in density functional the- ory.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Universal functionals in density functional the- ory

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-28T16:48:25.677497Z

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Observation 4a25d9f5-cd04-4a09-bd03-ae165344af97 · outbound

This paper cites The local density approximation in density func- tional theory.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations The local density approximation in density func- tional theory

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-28T16:48:25.677497Z

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Observation 44543f2a-b898-4016-a622-de0ee993525f · outbound

This paper cites Statistical mechanics of the uniform electron gas.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Statistical mechanics of the uniform electron gas

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-28T16:48:25.677497Z

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Observation f706bb6d-2307-43fe-820f-39cc11a1c52d · outbound

This paper cites Density functionals for Coulomb systems.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Density functionals for Coulomb systems

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-28T16:48:25.677497Z

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Observation 283fb4a8-34df-4838-84f2-bcc917912375 · outbound

This paper cites Lions and E.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Lions and E

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-28T16:48:25.677497Z

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Observation 8264c884-1aaa-4787-b6e4-9cfdaee4b97f · outbound

This paper cites Modified Scattering for the Time-Dependent Kohn--Sham Equation.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Modified Scattering for the Time-Dependent Kohn--Sham Equation

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-07-01T21:36:14.789143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 166a1178-dec3-429d-ace2-c94d27a6edbd · outbound

This paper cites Long-time behaviour of time-dependent density functional theory.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Long-time behaviour of time-dependent density functional theory

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-28T16:48:25.677497Z

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Observation 326e300f-cf32-41cd-a110-62758490b11b · outbound

This paper cites Density-Functional Theory for Time-Dependent Systems.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Density-Functional Theory for Time-Dependent Systems

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-28T16:48:25.677497Z

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Observation 03bc3481-dc72-4e23-9395-6601417fae39 · outbound

This paper cites Review of the foundations of time-dependent density-functional theory (TDDFT).

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Review of the foundations of time-dependent density-functional theory (TDDFT)

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-28T16:48:25.677497Z

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Observation a9d6a039-095b-4db9-be50-6f4a5939249b · outbound

This paper cites A Theoretical Investigation of Time-Dependent Kohn–Sham Equations.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations A Theoretical Investigation of Time-Dependent Kohn–Sham Equations

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-28T16:48:25.677497Z

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Observation 49c6567b-ec8b-4e92-ad82-b5f0af5269a9 · outbound

This paper cites On weak solutions of semi-linear hyperbolic equations.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations On weak solutions of semi-linear hyperbolic equations

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-28T16:48:25.677497Z

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Observation ee77d87a-6597-4c7f-881e-a5b7e328d366 · outbound

This paper cites On the Stability of Molecules in the Thomas-Fermi Theory.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations On the Stability of Molecules in the Thomas-Fermi Theory

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-28T16:48:25.677497Z

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Observation 0fbb2000-df22-4bca-9f59-36872e0635d4 · outbound

This paper cites The calculation of atomic fields.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations The calculation of atomic fields

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-28T16:48:25.677497Z

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Observation 23fe9597-e40a-49bb-8144-c7d7279a1c58 · outbound

This paper cites Attribution 4.0 International.

Existence of Solutions for time-dependent fractional Kohn-Sham Equations Attribution 4.0 International

Reference 35

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