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Paper Citation Record · LEDGER

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations

As of 16 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:1909.00588.

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pith.paper-citation-record.v1
1909.00588 v4

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:55:50.599901Z

measured 36 of 36 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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Source: cited_works

Reference resolution

36 of 36 outbound references displayed

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External citation measurements

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Outbound references

Observation f388eafb-c7c7-4b16-97ec-0bb46c2bf433 · outbound

This paper cites Towards an Efficient Finite Element Method for the Integral Fractional Laplacian on Polygonal Domains.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Towards an Efficient Finite Element Method for the Integral Fractional Laplacian on Polygonal Domains

Reference 1

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Observation 56eb07fc-fd40-4e2b-a836-3012fb64a0ee · outbound

This paper cites Unidirectional evolution equations of diffusion type.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Unidirectional evolution equations of diffusion type

Reference 2

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local_arxiv, observed 2026-08-14T05:55:51.292963Z

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Observation eaf2b604-cbcb-435a-b26b-ca6a5549a95d · outbound

This paper cites Fractional Elliptic Quasi-Variational Inequalities: Theory and Numerics.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Fractional Elliptic Quasi-Variational Inequalities: Theory and Numerics

Reference 3

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Observation 600403ea-ef46-4f5b-af21-6dee018ea7aa · outbound

This paper cites Br\' e zis.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Br\' e zis

Reference 4

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source=arxiv_source observed=2026-08-14T05:55:50.446168Z digest=sha256:1e292ab54590c63ebd4a012f483e1beeafbbe4ee65f13f01a2740f139a690e03

Observation b216e39e-75b9-4b44-befc-6047a1b7984b · outbound

This paper cites Br\' e zis.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Br\' e zis

Reference 5

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Observation 898b6f14-7457-4412-b8ed-02568df97c57 · outbound

This paper cites Sobolev spaces on non-Lipschitz subsets of $\mathbb{R}^n$ with application to boundary integral equations on fractal screens.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Sobolev spaces on non-Lipschitz subsets of $\mathbb{R}^n$ with application to boundary integral equations on fractal screens

Reference 6

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Observation 6fb6e95a-5639-479e-8bcb-7be9e5c2e2c9 · outbound

This paper cites an unresolved cited work.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Unresolved cited work

Reference 7

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Observation fd94c3c6-475e-4e91-a637-4f9911e81bb6 · outbound

This paper cites An extension problem related to the fractional Laplacian.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations An extension problem related to the fractional Laplacian

Reference 8

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Observation 39f8cc5e-cb28-4e1a-b65c-3a103ac2d558 · outbound

This paper cites Fractional elliptic equations, Caccioppoli estimates and regularity.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Fractional elliptic equations, Caccioppoli estimates and regularity

Reference 9

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Observation d029c383-fa27-4256-ba87-53328218f74b · outbound

This paper cites Hitchhiker's guide to the fractional Sobolev spaces.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Hitchhiker's guide to the fractional Sobolev spaces

Reference 10

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Observation f500b4ff-1009-447d-8b9d-1e2678652051 · outbound

This paper cites an unresolved cited work.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Unresolved cited work

Reference 11

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Observation cca90de0-2f23-4448-b989-bfb459d2b509 · outbound

This paper cites A comparative study on nonlocal diffusion operators related to the fractional Laplacian.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations A comparative study on nonlocal diffusion operators related to the fractional Laplacian

Reference 12

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The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Unresolved cited work

Reference 13

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This paper cites Fractional Laplacians on domains, a development of H\"ormander's theory of mu-transmission pseudodifferential operators.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Fractional Laplacians on domains, a development of H\"ormander's theory of mu-transmission pseudodifferential operators

Reference 14

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Observation 6990f380-a06f-4893-ab43-df76e62d61c9 · outbound

This paper cites Gustafsson.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Gustafsson

Reference 15

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Observation 055c947b-2b29-4442-9a67-d1234f51526f · outbound

This paper cites Klages, G.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Klages, G

Reference 16

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Observation 8001c6cc-e70e-4dc4-8a97-7771e159b27e · outbound

This paper cites Kinderlehrerand and G.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Kinderlehrerand and G

Reference 17

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Observation 298e08b9-7fee-44b8-a4be-1e5294a1b146 · outbound

This paper cites Ten equivalent definitions of the fractional Laplace operator.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Ten equivalent definitions of the fractional Laplace operator

Reference 18

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Observation 8a94ee66-1d32-4cf9-b3e6-ae90898977b8 · outbound

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The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Unresolved cited work

Reference 19

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Observation e16bd2cb-be1b-4493-98c4-8ddf66db5b7c · outbound

This paper cites On a Class of Nonlocal Obstacle Type Problems Related to the Distributional Riesz Fractional Derivative.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations On a Class of Nonlocal Obstacle Type Problems Related to the Distributional Riesz Fractional Derivative

Reference 20

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Observation 0eb422b1-33f3-4b65-a7ad-dc69a5b76408 · outbound

This paper cites Lewy and G.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Lewy and G

Reference 21

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Observation 56726bb8-8e84-48ac-8720-7dc9692e99b3 · outbound

This paper cites Mclean, Strongly Elliptic Systems and Boundary Integral Equations.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Mclean, Strongly Elliptic Systems and Boundary Integral Equations

Reference 22

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Observation 777ed35e-9c91-481c-a81b-b9265e282d47 · outbound

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The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Unresolved cited work

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Observation ad2bf996-93ea-4f80-a53a-7977b4a56883 · outbound

This paper cites Musina and A.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Musina and A

Reference 24

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Observation 0141fc57-a9f4-4bcb-95a9-f747966f8ff2 · outbound

This paper cites On fractional Laplacians -- 2.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations On fractional Laplacians -- 2

Reference 25

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Observation 37c5bff7-d050-46af-9808-15e7a9835846 · outbound

This paper cites Variational inequalities for the spectral fractional Laplacian.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Variational inequalities for the spectral fractional Laplacian

Reference 26

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

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Observation 1bca9ce1-7c7e-4215-8f08-853fe8a5d9cc · outbound

This paper cites Variational inequalities for the fractional Laplacian.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Variational inequalities for the fractional Laplacian

Reference 27

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Observation 51b13356-99d2-48b5-8b66-6f5449b898cf · outbound

This paper cites A PDE approach to fractional diffusion in general domains: a priori error analysis.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations A PDE approach to fractional diffusion in general domains: a priori error analysis

Reference 28

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

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Observation a31cbcb0-dbb6-4fc7-995f-49c81fd38df8 · outbound

This paper cites u land. Unique continuation for fractional Schr\.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations u land. Unique continuation for fractional Schr\

Reference 29

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Observation a7f16b2a-55fa-4f3d-ac8d-3d641d2f5f3f · outbound

This paper cites On the Fractional Landis Conjecture.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations On the Fractional Landis Conjecture

Reference 30

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local_arxiv, observed 2026-08-14T05:55:50.855458Z

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

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This paper cites An Introduction to L\'evy and Feller Processes. Advanced Courses in Mathematics - CRM Barcelona 2014.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations An Introduction to L\'evy and Feller Processes. Advanced Courses in Mathematics - CRM Barcelona 2014

Reference 31

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Observation e1e5786f-0560-4b59-8808-9fbf39477fd7 · outbound

This paper cites an unresolved cited work.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Unresolved cited work

Reference 32

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source=arxiv_source observed=2026-08-14T05:55:50.581980Z digest=sha256:e81c86c62ee1e53bf755bd65df66bf602ebd9a405156c8f4824dd966204f45ff

Observation e3ea1ab7-f9a9-436e-b878-512e2db85a76 · outbound

This paper cites Extension problem and Harnack's inequality for some fractional operators.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Extension problem and Harnack's inequality for some fractional operators

Reference 33

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

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Observation f5b0f9ad-254c-4b4b-8813-3a0f2c3561c7 · outbound

This paper cites Servadei and E.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Servadei and E

Reference 34

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doi, observed 2026-08-14T05:55:50.655904Z

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source=arxiv_source observed=2026-08-14T05:55:50.591270Z digest=sha256:8a9b13bc41c2e9df5e55d517db9f19ec5f1d8e65b1bf4ece2eaefd6fa34bee5d

Observation 7b2545dc-2114-46fe-937d-e80b1d32d4c2 · outbound

This paper cites an unresolved cited work.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Unresolved cited work

Reference 35

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source=arxiv_source observed=2026-08-14T05:55:50.595736Z digest=sha256:f7b1de96ae3cd36325dad4cf4589ff24873863239aef006b5300543a529033e6

Observation d10047c2-edce-48fd-8ddd-1ef93035b252 · outbound

This paper cites Yosida, Functional analysis.

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations Yosida, Functional analysis

Reference 36

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source=arxiv_source observed=2026-08-14T05:55:50.599901Z digest=sha256:760605341d042c8c02d135825e8ffc549410ae5f03fdeae1a9a17a7c22dc526d

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