Paper Citation Record · LEDGER

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise

As of 16 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:1908.06128.

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pith.paper-citation-record.v1
1908.06128 v1

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measured 40 of 40 reference resolution

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measured 40 of 40 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

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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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Source: cited_works

Reference resolution

40 of 40 outbound references displayed

verified exact2
verified fuzzy30
unresolved8
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External citation measurements

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Outbound references

Observation b740a64a-6946-44fc-9b89-1266926e5e17 · outbound

This paper cites D., and Border, K.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise D., and Border, K

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:02.052312Z

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.

Observation 7db84d20-4afa-4e94-aef9-4e05aef2dde1 · outbound

This paper cites Multiplication in Sobolev Spaces, Revisited.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Multiplication in Sobolev Spaces, Revisited

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T13:09:01.369267Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32282b72-a2a1-4427-950f-043c6c826a89 · outbound

This paper cites The stochastic Burgers equation.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise The stochastic Burgers equation

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:02.039162Z

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.

Observation 9ae8baad-a5d7-4436-af7a-f3ae53e4913a · outbound

This paper cites Galerkin approximations for the stochastic Burgers equation.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Galerkin approximations for the stochastic Burgers equation

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:02.027465Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8225c4ed-595e-4135-8261-599094a30bfc · outbound

This paper cites Functional analysis, Sobolev spaces and partial diﬀerenti al equations.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Functional analysis, Sobolev spaces and partial diﬀerenti al equations

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:02.015255Z

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.

Observation a5131365-1e1f-4338-98c9-a451639d924c · outbound

This paper cites Ergodic properties of fractional stochastic Burgers equation.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Ergodic properties of fractional stochastic Burgers equation

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:02.001753Z

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.

Observation 1d396fb3-04f0-49dd-a82b-7b36de5f415b · outbound

This paper cites Stochastic Burgers’ equation.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Stochastic Burgers’ equation

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.990460Z

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.

Observation d00a014f-1d69-4275-84b6-755a821e8143 · outbound

This paper cites Stochastic Burgers equation with correlated noise.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Stochastic Burgers equation with correlated noise

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.979859Z

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.

Observation 642578fc-154d-4394-9b83-58956de401f5 · outbound

This paper cites Stochastic equations in inﬁnite dimensions , vol.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Stochastic equations in inﬁnite dimensions , vol

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.969246Z

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.

Observation b14ea41a-6de8-4525-bf25-70cd615b01e7 · outbound

This paper cites Ergodicity for inﬁnite-dimensional systems , vol.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Ergodicity for inﬁnite-dimensional systems , vol

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.957588Z

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.

Observation 30dca719-d8a8-4a19-80f9-79d9be35b6fa · outbound

This paper cites Stochastic equations in inﬁnite dimensions , second ed., vol.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Stochastic equations in inﬁnite dimensions , second ed., vol

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.945414Z

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.

Observation dd6fcab1-0176-4cb3-b72c-9a324756033a · outbound

This paper cites an unresolved cited work.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:09:01.933729Z

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.

Observation 0beadb03-3c64-4e05-983c-308ad0dc9f1c · outbound

This paper cites Concrete characterization of the domains of fractional pow ers of some elliptic diﬀerential operators of the second order.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Concrete characterization of the domains of fractional pow ers of some elliptic diﬀerential operators of the second order

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.921443Z

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.

Observation 8c554f9e-5fd6-4604-8cec-3f2f616bd7ff · outbound

This paper cites Stochastic Evolution Equations: A Hilbert Space Ap- proach.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Stochastic Evolution Equations: A Hilbert Space Ap- proach

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.909943Z

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.

Observation 6b137ca8-1d88-471c-9ae4-7bcb4b48d5b1 · outbound

This paper cites Existence and uniqueness results for semilinear stochasti c partial diﬀerential equations.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Existence and uniqueness results for semilinear stochasti c partial diﬀerential equations

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.898353Z

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.

Observation de2da043-4500-48ec-883e-72da546fe158 · outbound

This paper cites On the stochastic Burgers’ equation in the real line.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise On the stochastic Burgers’ equation in the real line

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.886240Z

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.

Observation 82bd52d7-d9f5-46c9-8b82-2196a85ac3e3 · outbound

This paper cites an unresolved cited work.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:09:01.875718Z

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.

Observation 09dd51f9-b282-4140-9797-2ceb8a2c4091 · outbound

This paper cites Taylor Approximations for Stochastic Partial Diﬀerential Equations, vol.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Taylor Approximations for Stochastic Partial Diﬀerential Equations, vol

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.864242Z

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.

Observation 1ae4e882-ceac-4bd3-a585-81798a531439 · outbound

This paper cites On the Alekseev-Gr\"obner formula in Banach spaces.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise On the Alekseev-Gr\"obner formula in Banach spaces

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:09:01.602623Z

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.

Observation f6925bc8-fdf1-4cf3-ba4b-6dc355ded896 · outbound

This paper cites Exponential moments for numerical approximations of stochastic partial diﬀerential equations.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Exponential moments for numerical approximations of stochastic partial diﬀerential equations

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.851158Z

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.

Observation 94b7eba5-5f5c-4304-b466-c5ab772cc7da · outbound

This paper cites Strong convergence rates for an explicit numer- ical approximation method for stochastic evolution equati ons with non-globally Lip- schitz continuous nonlinearities.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Strong convergence rates for an explicit numer- ical approximation method for stochastic evolution equati ons with non-globally Lip- schitz continuous nonlinearities

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T13:09:01.450199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46041b41-ddf4-41a9-994a-45a89fe3ecd4 · outbound

This paper cites Regularity analysis of stochastic partial diﬀerential equations with nonlinear multiplicative trace class noise.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Regularity analysis of stochastic partial diﬀerential equations with nonlinear multiplicative trace class noise

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.838511Z

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.

Observation a11a0d65-831d-4e01-a87d-26e44256b386 · outbound

This paper cites Strong convergence for explicit space-time discrete numerical approximation methods for stochastic B urgers equations.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Strong convergence for explicit space-time discrete numerical approximation methods for stochastic B urgers equations

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.825860Z

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.

Observation fd42e87a-a9ea-4cd9-b086-c1ce312b4c6c · outbound

This paper cites Foundations of modern probability.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Foundations of modern probability

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.814880Z

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.

Observation 62d62785-02ec-4857-8ee4-f527accbd017 · outbound

This paper cites an unresolved cited work.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:09:01.804973Z

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.

Observation 8c4cbe9c-63ae-4fc4-b0db-d8e0f65aa8d4 · outbound

This paper cites Probability theory.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Probability theory

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.793473Z

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.

Observation 9856c59e-295f-454e-9a0f-b777bd7aebc1 · outbound

This paper cites E., and Neuenkirch, A.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise E., and Neuenkirch, A

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.782493Z

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.

Observation 0a9be057-61b8-4564-9c6e-5df948f3529a · outbound

This paper cites Stochastic Burgers’ equation on the real line: regularity a nd moment estimates.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Stochastic Burgers’ equation on the real line: regularity a nd moment estimates

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.770330Z

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.

Observation af23df3a-843c-4dc1-9086-6ccd954bdb66 · outbound

This paper cites Stochastic partial diﬀerential equations: an introductio n.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Stochastic partial diﬀerential equations: an introductio n

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.758023Z

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.

Observation 0a4ccad4-5840-4a99-80fe-95e2c176003f · outbound

This paper cites Interpolation theory , vol.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Interpolation theory , vol

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.744874Z

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.

Observation 0f939984-2e9e-4352-99a8-acc2292b4d4d · outbound

This paper cites Existence, uniqueness, and numerical approximations for stochastic Burgers equations.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Existence, uniqueness, and numerical approximations for stochastic Burgers equations

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:09:01.581555Z

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.

Observation b4cd3f27-d27a-481b-bc4b-c22748f7ec68 · outbound

This paper cites On elliptic partial diﬀerential equations.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise On elliptic partial diﬀerential equations

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.731905Z

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.

Observation bb6399c8-fbef-4c7c-8960-d8332bc5416b · outbound

This paper cites A concise course on stochastic partial diﬀerential equa- tions, vol.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise A concise course on stochastic partial diﬀerential equa- tions, vol

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.720097Z

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.

Observation 7e34a841-5ca8-44b4-b30c-253ee9e5d3ac · outbound

This paper cites Local existence and non-explosion of solutions for stochastic fractional partial diﬀerential equations driv en by multiplicative noise.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Local existence and non-explosion of solutions for stochastic fractional partial diﬀerential equations driv en by multiplicative noise

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.708633Z

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.

Observation 47964f1e-7cba-4938-8f68-5d9065376162 · outbound

This paper cites an unresolved cited work.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:09:01.695753Z

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.

Observation 335eb3b2-3217-4d09-8ca5-43d39267eeab · outbound

This paper cites an unresolved cited work.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:09:01.680826Z

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.

Observation 9d6a0984-eb18-4315-ae60-ced7b642e2ca · outbound

This paper cites R., and You, Y.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise R., and You, Y

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.667857Z

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.

Observation 87fc4826-223b-4585-b1fc-232bf98e4596 · outbound

This paper cites Interpolation theory, function spaces, diﬀerential opera tors, vol.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Interpolation theory, function spaces, diﬀerential opera tors, vol

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.655126Z

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.

Observation 89b36e62-039c-4609-842d-2a680039d24e · outbound

This paper cites an unresolved cited work.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:09:01.640713Z

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.

Observation e205952f-ff48-4b9f-913f-dc7ba8e076f5 · outbound

This paper cites Regularities for semilinear stochastic partial diﬀerenti al equations.

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise Regularities for semilinear stochastic partial diﬀerenti al equations

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:09:01.627825Z

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.

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