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Paper Citation Record · LEDGER

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions

As of 16 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:1908.02987.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.02987 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:39:59.227113Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

30 of 30 outbound references displayed

  • verified exact5
  • verified fuzzy16
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ffdaea89-79d3-49d9-a729-5311b5e6f058 · outbound

This paper cites Scattering below the ground state for the 2$d$ radial nonlinear Schr\"odinger equation.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Scattering below the ground state for the 2$d$ radial nonlinear Schr\"odinger equation

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:39:59.385883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.055476Z digest=sha256:9509eca0f2467b85a2f8fd88f80221568c6b739d5341b0413db1e411074c796f

Observation 08c68435-6e54-4f35-a4f6-eb4fb8458de1 · outbound

This paper cites Berg´ e, Solition stability versus collapse, Phys.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Berg´ e, Solition stability versus collapse, Phys

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:59.863151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.062306Z digest=sha256:29fa5621bdb8212da7b0d7bbc384bec601efaf91d39668a7b950cf44113201b0

Observation 04ded3e8-a0b6-4698-b920-b863c6159123 · outbound

This paper cites Scattering of radial solutions to the Inhomogeneous Nonlinear Schr\"odinger Equation.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Scattering of radial solutions to the Inhomogeneous Nonlinear Schr\"odinger Equation

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:39:59.359515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.068333Z digest=sha256:0bd438d2c0149e87df17d1d9827b1084013c5a35d5b5fdd54d3331dea7f637de

Observation 65fab7cd-29bb-493d-8567-9a4df8f04961 · outbound

This paper cites Cazenave, Semilinear Schr¨ odinger Equations, Courant Lecture Notes in Mathematics 10, American Mathema tical Society, Courant Institute of Mathematical Sciences, 2003.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Cazenave, Semilinear Schr¨ odinger Equations, Courant Lecture Notes in Mathematics 10, American Mathema tical Society, Courant Institute of Mathematical Sciences, 2003

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:59.843165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.075729Z digest=sha256:1d8bc3b4d5028849e4ab01b665c342c77cbf74872dcfcca20f46b38b9004c430

Observation 104d5508-d5aa-4cd2-ab80-acc5051edef7 · outbound

This paper cites Combet and F.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Combet and F

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:59.825815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.082411Z digest=sha256:05f8ff99fd4f9bac845d974f4f658457319523f9bbcdc4f6b76f738c60fa7191

Observation 7311cf46-7cf4-4bff-8721-ee5f288ac4aa · outbound

This paper cites Chen, On a class of nonlinear inhomogeneous Schr¨ odin ger equation, J.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Chen, On a class of nonlinear inhomogeneous Schr¨ odin ger equation, J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:59.808140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.088847Z digest=sha256:d3f899c2046780779cdf9717de03187d2b65f6e4526af2605f514e71c33b148a

Observation d9c94a0f-0187-406d-990f-189941ea273a · outbound

This paper cites Chen and B.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Chen and B

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:59.790489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.094827Z digest=sha256:b8a2257b5230fefe1342d16784dfc3626dba55b5b329aef12dfce1c0dc1f0c5a

Observation 633f2674-4aa3-4e5c-9486-687ec0bc40f7 · outbound

This paper cites Scattering theory in a weighted $L^2$ space for a class of the defocusing inhomogeneous nonlinear Schr\"odinger equation.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Scattering theory in a weighted $L^2$ space for a class of the defocusing inhomogeneous nonlinear Schr\"odinger equation

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:39:59.332856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.100656Z digest=sha256:db16ea98285e8e27eff4ed7481eff85090148c62ae367539a5592dcf567540c9

Observation 81391fbe-a3d9-45ca-a898-205167333e98 · outbound

This paper cites an unresolved cited work.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:39:59.771764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.106493Z digest=sha256:0a3c28a15065a7091d65e14dd3ef9474fd83ae5ff1af3b074833c97242a47922

Observation e77de7f7-bdbc-4a1f-b35b-b8b1d90ff4a6 · outbound

This paper cites an unresolved cited work.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:39:59.751934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.112432Z digest=sha256:81d689cf6292c4f96526cc7b025dc950ffac5b835670fd99fc599469ae5c8a6d

Observation 9901270f-737f-49d2-aa92-02f047519faf · outbound

This paper cites On nonlinear Schr\"odinger equations with repulsive inverse-power potentials.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions On nonlinear Schr\"odinger equations with repulsive inverse-power potentials

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:39:59.306209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.117669Z digest=sha256:138e5de1bf67cbd3448c86680994099ffe28b662e5ef18ecf54a52a49883dfd2

Observation 38755b9b-8b85-48d2-aae5-e42bf71f951b · outbound

This paper cites Dodson and J.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Dodson and J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:59.733203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.124027Z digest=sha256:e2c560354e27cd324978ac74da7501e066c9010ae2ef66430dcc23ec7c4bd781

Observation 5d6b4690-94f0-4d31-90d4-471df696ffc4 · outbound

This paper cites an unresolved cited work.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:39:59.713986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.130100Z digest=sha256:b2fab1b48880048fddd73c39ed1f4b48f7dcf318c6a7b617a69441bac942806d

Observation 29bf630c-7b1e-46d6-ab3e-6b487c4a2600 · outbound

This paper cites an unresolved cited work.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:39:59.693828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.135881Z digest=sha256:e13022458a9c615480a161de6a6f3d8a64f3025385aafb6f9c8e18c59b8a58cb

Observation 41de0df2-816d-4e44-97f5-2b8b0303dac6 · outbound

This paper cites an unresolved cited work.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:39:59.673087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.142014Z digest=sha256:5c877149d7e3898f4a472cfa57ae230a8e5016d05926c8c8f4fcb2182055d723

Observation 72ea98f3-a1e0-4db2-93db-9d48aee14168 · outbound

This paper cites Fibich and X.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Fibich and X

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:59.649173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.148530Z digest=sha256:e3c3a07dd12908523c468ae8e3b7c01dc54730dff2bc187501e393f696e7659d

Observation 75ed875d-7bea-4dea-85bf-b1c25e6fd84b · outbound

This paper cites Genoud and C.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Genoud and C

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:59.631517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.153961Z digest=sha256:bc2db0cb83c5c9eff6e057f17316daaacdfe7890b03e3bf5a7075f2d0eba6d20

Observation 25979e4f-c808-4372-84e7-85e0361cd6c7 · outbound

This paper cites Genoud, A uniqueness result for ∆ u − λu + V (|x|)up = 0 on R2, Adv.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Genoud, A uniqueness result for ∆ u − λu + V (|x|)up = 0 on R2, Adv

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:59.613518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.159127Z digest=sha256:7482a6bc7707f705066ed8a053f0de0c9f882b0a95c1cf8c034ee1eb211c73f5

Observation aa79c817-03cd-4543-9fe4-7255ef95ccf8 · outbound

This paper cites Genoud, An inhomogeneous, L2-critical, nonlinear Schr¨ odinger equation,Z.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Genoud, An inhomogeneous, L2-critical, nonlinear Schr¨ odinger equation,Z

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:59.592644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.164361Z digest=sha256:0bf705fc36004724465f2a9fb6ec2727da7724c034d3e92ef6d5d2dbccae8352

Observation 2883b9ea-4f53-453a-b4ef-a4733f9d27ba · outbound

This paper cites an unresolved cited work.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:39:59.571325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.169136Z digest=sha256:ab1d356bab7e470143a58e7de8be471d3cd1de518e97140589edb2c2902ee113

Observation e11e2877-0663-4dcb-82a5-2cff3653af04 · outbound

This paper cites an unresolved cited work.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:39:59.551959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.174318Z digest=sha256:a32449dd18e998b063abb09a27ee1693cbdd8d554cb52f63be8db738918a3db5

Observation f447883f-b420-4f23-9020-1771ef877f79 · outbound

This paper cites an unresolved cited work.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:39:59.530118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.179638Z digest=sha256:3c4eccb804bb6a4ea3cd12f442a11acbbeba2fba431b832c7393adaa73b6b036

Observation 6105f10f-5045-471e-9107-772136e5ab49 · outbound

This paper cites Merle, Nonexistence of minimal blow-up solutions of equations iut = − ∆ u − k(x)|u| 4 d u in RN , Ann.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Merle, Nonexistence of minimal blow-up solutions of equations iut = − ∆ u − k(x)|u| 4 d u in RN , Ann

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:59.513374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.184763Z digest=sha256:ea55f60447d6fcd87df315c5512f65ccc954f2a4103b06e97f77ed6329a1fb25

Observation 5e37d4a1-c328-47ac-8b9f-0bff6eff6755 · outbound

This paper cites Rapha¨ el and J.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Rapha¨ el and J

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:59.496658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.190488Z digest=sha256:a0ffaad6ab49441d590a572df062801cae89503e2d24930c06ca8c9e047d83cc

Observation fdc00706-f015-44ac-8219-5a61719a4664 · outbound

This paper cites an unresolved cited work.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:39:59.478724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.196809Z digest=sha256:7f5954104b772ae68b60e0fb81e72761ef4d49f628a6c4f7fb1157bd8d351fd2

Observation 9110d8d1-50d0-4e47-90b4-45bc70a1dd58 · outbound

This paper cites Tao, Nonlinear dispersive equations: local and global analysis , CBMS Regional Conference Series in Mathematics 106, AMS, 2006.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Tao, Nonlinear dispersive equations: local and global analysis , CBMS Regional Conference Series in Mathematics 106, AMS, 2006

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:59.460374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.202331Z digest=sha256:e7d43d27b39e472daae1d39db55504c651a01c1dfab0e8f5df37ab75549b9604

Observation 41aa49f2-e74c-4635-94a5-29c966b7351d · outbound

This paper cites Towers and B.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Towers and B

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:59.442463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.208159Z digest=sha256:40e6944aac697c7983bd0315b2459cf40ab990870cc99ec7a440324a5f4220b4

Observation 5731bc8e-33dc-4191-8d81-eb5f4633e6ce · outbound

This paper cites A remark on the scattering theory for the 2d radial focusing INLS.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions A remark on the scattering theory for the 2d radial focusing INLS

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:39:59.280410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.214108Z digest=sha256:eb51a22a64f0d05dd539c008bb3df4965f18130f055f577f5fad2d9d995878b9

Observation 24374d63-2b22-4738-bdf6-ea7d97e9019a · outbound

This paper cites Yanagida, Uniqueness of positive radial solutions o f ∆ u + g(r)u + h(r)up = 0 in RN , Arch.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Yanagida, Uniqueness of positive radial solutions o f ∆ u + g(r)u + h(r)up = 0 in RN , Arch

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:59.424517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.219316Z digest=sha256:433adef3a0cbd92fb273e64799a370b75d184991eb839a4e68224c2a4e3fa158

Observation b420a760-0168-42d6-a739-ae98cea6aa83 · outbound

This paper cites Zhu, Blow-up solutions for the inhomogeneous Schr¨ o dinger equation with L2 supercritical nonlinearity, J.

Energy scattering for a class of inhomogeneous nonlinear Schr\"odinger equation in two dimensions Zhu, Blow-up solutions for the inhomogeneous Schr¨ o dinger equation with L2 supercritical nonlinearity, J

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:39:59.405553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:39:59.227113Z digest=sha256:e06c822da58666d17300dd3d8dd0273e7625b893f71782b6a5100677ffe2c44f

Pith citing papers

No inbound Pith citation observations are available.