Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-30T10:55:56.415184Z
Paper Citation Record · LEDGER
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence
As of 9 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2606.04018.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-30T19:49:16.231020Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
42 of 42 outbound references displayed
- verified exact12
- verified fuzzy22
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 08933e58-4b36-4068-9c7b-21d42252243c · outbound
This paper cites Bach,Breaking the curse of dimensionality with convex neural networks, J.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Bach,Breaking the curse of dimensionality with convex neural networks, J
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.917849Z
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 6e5bc23e-7aae-4b9a-893c-b0248a4542ad · outbound
This paper cites Bellomo, F.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Bellomo, F
Reference 2
- Resolution
- verified exact
- doi, observed 2026-06-30T11:04:37.308185Z
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 ed4d0ef1-183a-4ae0-a26d-bc0be95288b2 · outbound
This paper cites Bertoluzza, E.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Bertoluzza, E
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.910368Z
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 ca687e33-a27a-4b5a-94c4-f42061de16fb · outbound
This paper cites an unresolved cited work.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T12:26:16.923710Z
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 8df53914-9f6b-4aa6-9486-725984a262e1 · outbound
This paper cites Regularity of Second-Order Elliptic PDEs in Spectral Barron Spaces.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Regularity of Second-Order Elliptic PDEs in Spectral Barron Spaces
Reference 5
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T11:04:37.828001Z
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 7bb91650-28f9-4b0d-b86b-af85c2071b69 · outbound
This paper cites Chizat and F.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Chizat and F
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.925443Z
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 1b9cb6c3-acca-4826-b9f0-acd6db7cbbfe · outbound
This paper cites Dal Maso,An Introduction to Γ-Convergence, Progress in Nonlinear Differential Equations and Their Applications, vol.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Dal Maso,An Introduction to Γ-Convergence, Progress in Nonlinear Differential Equations and Their Applications, vol
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.934238Z
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 350e6a3a-a9d6-456a-b9bb-bf40902b5176 · outbound
This paper cites De Ryck, A.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence De Ryck, A
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.964884Z
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 6a076b03-2681-4e09-8351-ae05f789d98d · outbound
This paper cites Doumèche, G.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Doumèche, G
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.914002Z
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 e3a3d6f6-f6ca-41fa-9169-cdc387d5d769 · outbound
This paper cites Dondl, J.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Dondl, J
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.957272Z
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 6eeb3cca-9b37-47a1-898a-351492a60bb4 · outbound
This paper cites an unresolved cited work.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T12:26:16.944558Z
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 1f52ccc6-6cf0-432e-aaf3-ebc2b1835c0c · outbound
This paper cites Fernández and E.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Fernández and E
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.955055Z
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 e76653c5-57cf-476b-9a3e-f3e280ab2805 · outbound
This paper cites Gazoulis, I.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Gazoulis, I
Reference 13
- Resolution
- verified exact
- doi, observed 2026-06-30T11:04:37.310036Z
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 221beadd-411f-4c4c-ae9d-d4984945030b · outbound
This paper cites Girosi and T.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Girosi and T
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.958909Z
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 a6ae45be-6b5a-45dc-a795-754564eca6ab · outbound
This paper cites Optimal convergence rates for the finite element approximation of the Sobolev constant.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Optimal convergence rates for the finite element approximation of the Sobolev constant
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-06-30T11:04:37.830451Z
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 7c7fa65e-a0db-4ad8-ad11-d33b6d9b093d · outbound
This paper cites HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling
Reference 16
- Resolution
- verified exact
- arxiv_id, observed 2026-07-27T02:19:50.485261Z
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 f8fb456f-73fc-43ab-83e0-ce5f8f5a137e · outbound
This paper cites HYCO: A Formalism for Hybrid-Cooperative PDE Modelling.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence HYCO: A Formalism for Hybrid-Cooperative PDE Modelling
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-06-30T11:04:37.825262Z
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 d795bcec-10a4-4b2c-b1fe-525e923503be · outbound
This paper cites an unresolved cited work.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T12:26:16.960558Z
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 aa4bd0cf-a5b6-46d1-8d36-a1a80066947c · outbound
This paper cites an unresolved cited work.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T12:26:16.962941Z
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 8080e8ee-59da-41c9-a339-a660a0ced93f · outbound
This paper cites Non-Uniqueness of Solutions in Neural Variational Methods.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Non-Uniqueness of Solutions in Neural Variational Methods
Reference 20
- Resolution
- verified exact
- local_arxiv, observed 2026-06-30T11:04:37.835331Z
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 9ae05c3e-dd3d-4f1e-aaca-51ecaca365b9 · outbound
This paper cites an unresolved cited work.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T12:26:16.966612Z
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 e1cc1225-eaab-473b-a42e-39ac4fa54ca5 · outbound
This paper cites Liu and E.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Liu and E
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.953337Z
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 88fbb54c-0e8f-4521-a847-6e193447ff2c · outbound
This paper cites Lloyd,Least squares quantization in PCM, IEEE Trans.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Lloyd,Least squares quantization in PCM, IEEE Trans
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.950350Z
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 c675618c-6a23-486f-9fea-ae92d8dec1eb · outbound
This paper cites Luo, Z.-Q.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Luo, Z.-Q
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.932366Z
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 858d7ecc-970c-402b-bb75-9dbf36fd8146 · outbound
This paper cites Luo and H.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Luo and H
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.937956Z
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 4d4329c3-f4d8-4099-bcdf-9d78be210d0b · outbound
This paper cites an unresolved cited work.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T12:26:16.936023Z
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 a618b15e-768e-4095-b741-14be2d1f29cc · outbound
This paper cites Mahan, E.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Mahan, E
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.948246Z
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 7c4f0073-0492-40ae-a303-b2d12d452295 · outbound
This paper cites Mishra and R.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Mishra and R
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.920189Z
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 935b9343-1a18-4368-b48e-312e0a6654d1 · outbound
This paper cites Deep Ritz revisited.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Deep Ritz revisited
Reference 29
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T11:04:37.843546Z
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 2f3d4891-dc79-48ed-92a8-3f4c8b5f4605 · outbound
This paper cites Müller and M.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Müller and M
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.940320Z
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 e50f84ef-657d-447b-afb1-cb94735dcc96 · outbound
This paper cites Petersen, M.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Petersen, M
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.921966Z
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 90f81366-8d10-4e67-bb92-e6d8ba4a1643 · outbound
This paper cites Raissi, P.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Raissi, P
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.930810Z
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 82d89044-2849-4cb2-8c5f-74ba7db6abc9 · outbound
This paper cites Robust Variational Physics- Informed Neural Networks.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Robust Variational Physics- Informed Neural Networks
Reference 33
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T11:04:37.312682Z
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 92a0c829-1e6b-41ae-ae7f-0b005a3b4d28 · outbound
This paper cites Savarese, I.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Savarese, I
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.942094Z
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 d35ab8dd-d6c1-4c6b-9f4c-2c4682115642 · outbound
This paper cites an unresolved cited work.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T12:26:16.929185Z
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 fd10bff2-da1a-4b3e-ab8a-a14430acc46b · outbound
This paper cites An Expert's Guide to Training Physics-informed Neural Networks.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence An Expert's Guide to Training Physics-informed Neural Networks
Reference 36
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T11:04:37.838470Z
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 4f847be6-7262-41d3-bf07-ff6150a646a4 · outbound
This paper cites Wendland,Scattered Data Approximation, Cambridge University Press, Cambridge, 2005.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Wendland,Scattered Data Approximation, Cambridge University Press, Cambridge, 2005
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.912326Z
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 3d496039-0687-4b23-aca4-9382dfe41d3b · outbound
This paper cites Wiener,Tauberian theorems, Ann.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Wiener,Tauberian theorems, Ann
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.908615Z
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 9c68b0a6-1659-49a2-9ec8-d3310daf0ce8 · outbound
This paper cites an unresolved cited work.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T12:26:16.915694Z
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 1c6d39f4-5e59-4899-85bd-1a9e5b92260a · outbound
This paper cites Convergence guarantees for gradie nt-based training of neural pde solvers: From linear to nonlinear pdes.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Convergence guarantees for gradie nt-based training of neural pde solvers: From linear to nonlinear pdes
Reference 40
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T11:04:37.841130Z
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 eb9d6b79-582b-4d69-9913-47a7b7ddccfe · outbound
This paper cites Zuazua,Propagation, observation, and control of waves approximated by finite difference methods, SIAM Rev.47(2005), 197–243.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Zuazua,Propagation, observation, and control of waves approximated by finite difference methods, SIAM Rev.47(2005), 197–243
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:26:16.927467Z
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 80b6c905-e2dd-4e84-b607-109ab23ee8fd · outbound
This paper cites Asymptotic behavior of scalar convection-diffusion equations.
The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence Asymptotic behavior of scalar convection-diffusion equations
Reference 42
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T11:04:37.846178Z
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.
Pith citing papers
Observation c8e62104-57a3-4b4c-9960-db2b24e3ab9c · inbound
Galerkin Approximation of the Fractional Hardy Constant cites this paper.
Galerkin Approximation of the Fractional Hardy Constant The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-07-30T19:49:16.231020Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.