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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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.055476Z digest=sha256:42d98eec2e11d1ca0aad9f414741d048a8c838aba21e66aceb35f96e25cfa5e7

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.062306Z digest=sha256:c3bc2cdeecad1dcae08bdbac6e42069643182f9b9eeef6f18e190e7281b7984e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.068333Z digest=sha256:93a44ac37cf806a8de804df77198f7b02a84426178d957276c11958af30a2d6b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.075729Z digest=sha256:21fd85cb5dac1dc1506f1eb31cde1a3b51e283d6c7739c19cd84e44ff771d9ea

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.082411Z digest=sha256:77988c6356529ec966641ff32dd576e89aea8031a205dfb2209fe70a78ade557

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.088847Z digest=sha256:580859531733e0597414cd6980caf292ebb74c7f1b1e81195ec12338b87ec0dc

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.094827Z digest=sha256:ce3318e5797676cfab78a7064f4fe26ccbf7bcf72c71571a8c87e216d73be808

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.100656Z digest=sha256:7aa8cc73e2df5b45b947dc85f1c9260ed50d13da30b90991ec664a9433844a07

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.106493Z digest=sha256:9c6dfb678d885222bda09d7ebfd1dcda9e9888ab1aee23641fbdd638e9b3bcd6

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.112432Z digest=sha256:9d43d8944e5aa3e90bb823e263d2d682d4d13a41befff412059f28ef302fadc6

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.117669Z digest=sha256:f15438593231cde8e8c01d45561b334bef8172a77ce10d7f12eb1c7b3acb0eb7

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.124027Z digest=sha256:ebd15625b6429eddb3466e483e4badfa403ad9e3aaa16354708ac7e4640f5630

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.130100Z digest=sha256:e5ffb797674cc459eac11e40952051f6964470324723d554e8eca5c35e5e46f9

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.135881Z digest=sha256:23e37d5a1fa23c7a28e3b384473372e89878a3fd14c47674b237946395785508

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.142014Z digest=sha256:adf2f74f27d37cc278b415c580e195dc2ca1f302dc34876d92001285b6b2cb8d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.148530Z digest=sha256:c983f2d88d62b08e55bb623afc302e92d0c1c1af4536c8eb88a7a43094a6e9d6

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.153961Z digest=sha256:9bc345b3ade60554ebe6efe73a5801df0beb38393ef21685acdc250166251045

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.159127Z digest=sha256:ca238e57f3164e1f905fabe7150794f8e479a07e145d237cea53c82a5dc032c3

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.164361Z digest=sha256:70e336f612844e76907ba6f3de6870b50298b91e5ce0a27e623dc0c6cca49b77

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.169136Z digest=sha256:9b6fb7504f8a1a69d104ff6fe6db272578b24818f1afefda79f5b80c6a1cc679

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.174318Z digest=sha256:a391bec07b39dcad0f226e5cf178ac9334a382d2b932e70e884b8be4db5009ba

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.179638Z digest=sha256:f91ed81de0198f4bae9234fb01d7448e8dc298f9976b4611a0c339ed0892e5ac

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.184763Z digest=sha256:d5837e001e58c732c447036506253ac19a7ab31f623c07eedea1e0bb776de893

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.190488Z digest=sha256:161140f0fd8d0e50095086da905dda60e94e4d5743808ae619a232a13d49b2ea

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.196809Z digest=sha256:bff7b1c8b1fb7424a0a5d3f71f3105e8da4d8b26c491d9825d84ad94314826a1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.202331Z digest=sha256:9c3fae13f112d65460c83be22bd52584ef56325e18e5905516a95dd712427488

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.208159Z digest=sha256:6708134f62d4b8d1f949a56ec24f4b2aa0377c621bbf625486dfa6114732d8ae

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.214108Z digest=sha256:b5b1ce45e435fa4750b8e8eda4c4f465b83758f0f49bef6ba28484ec0fe20d73

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.219316Z digest=sha256:2b3979797eebb24382d1d89aeb6c92f6e730e3004d578fee50976c39af4a73c0

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:39:59.227113Z digest=sha256:14312154163c06f01a743056cad70eccb232a2a7da13087e1bec89968f11ec27

Pith citing papers

No inbound Pith citation observations are available.