Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ | Paper Citation Record

Observation c937bcf8-a2ec-4f30-90e9-4f59602744a6 · outbound

This paper cites Well-posedness Results f or the Modiﬁed Zakharov-Kuznetsov Equation.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Well-posedness Results f or the Modiﬁed Zakharov-Kuznetsov Equation

Reference 1

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This paper cites Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations: Part I: Schr¨ odinger equations.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations: Part I: Schr¨ odinger equations

Reference 2

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This paper cites Periodic Korteweg de Vries equation with m easures as initial data.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Periodic Korteweg de Vries equation with m easures as initial data

Reference 3

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Observation a6c84ee4-f09b-43bb-b6b3-3771ac4c7a0f · outbound

This paper cites Invariant measures for the 2D-defocusing nonlinear Schr¨ odinger equation.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Invariant measures for the 2D-defocusing nonlinear Schr¨ odinger equation

Reference 4

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This paper cites Invarian t Gibbs measures for the three dimensional cubic nonlinear wave equation.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Invarian t Gibbs measures for the three dimensional cubic nonlinear wave equation

Reference 5

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This paper cites Random data Cauchy theory for su percritical wave equations I: local theory.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Random data Cauchy theory for su percritical wave equations I: local theory

Reference 6

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This paper cites Random data Cauchy theory for su percritical wave equations II: A global existence result.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Random data Cauchy theory for su percritical wave equations II: A global existence result

Reference 7

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Observation c777a79a-01b6-4d73-aab2-0e08d7c25908 · outbound

This paper cites Caffarelli and W.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Caffarelli and W

Reference 8

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Observation e0f94aaf-2c08-4e0c-a732-2161a8fb7cff · outbound

This paper cites Pointwise Conve rgence of the Schr¨ odinger Flow.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Pointwise Conve rgence of the Schr¨ odinger Flow

Reference 9

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This paper cites Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities

Reference 10

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This paper cites Invariant Gibbs measure s and global strong solutions for nonlinear Schr¨ odinger equations in dimension two.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Invariant Gibbs measure s and global strong solutions for nonlinear Schr¨ odinger equations in dimension two

Reference 11

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This paper cites Random tensors, propa gation of randomness, and nonlinear dispersive equations.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Random tensors, propa gation of randomness, and nonlinear dispersive equations

Reference 12

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This paper cites The Cauchy problem for the Zakharov–K uznetsov equation.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ The Cauchy problem for the Zakharov–K uznetsov equation

Reference 13

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Observation 0730aa43-62b9-4823-97c9-eb3225190e72 · outbound

This paper cites A note on the 2D ge neralized Zakharov–Kuznetsov equation: Local, global, and scattering results.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ A note on the 2D ge neralized Zakharov–Kuznetsov equation: Local, global, and scattering results

Reference 14

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Observation 1e4963d0-70cc-491c-a049-b2b392ade0f1 · outbound

This paper cites A note on the well-posedness in the energy space for the generalized ZK equation posed on R ˆ T.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ A note on the well-posedness in the energy space for the generalized ZK equation posed on R ˆ T

Reference 15

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Observation 17a3d30e-ccba-4388-8777-791ad58e5a16 · outbound

This paper cites A remark on the modiﬁed Zakharov-Kuznet sov equation in three space dimensions.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ A remark on the modiﬁed Zakharov-Kuznet sov equation in three space dimensions

Reference 16

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This paper cites An improved local well-posedness resul t for the modiﬁed KdV equation.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ An improved local well-posedness resul t for the modiﬁed KdV equation

Reference 17

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Observation a065696b-a261-422d-8f73-de46bb0c0835 · outbound

This paper cites On the generalized Zakharov-Kuznetsov equation at critical regularity.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ On the generalized Zakharov-Kuznetsov equation at critical regularity

Reference 18

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Observation 157e389d-2cf9-42ac-aaeb-0ed7157fe37c · outbound

This paper cites Low Regularity Local Well-Po sedness of the Derivative Nonlinear Schr¨ odinger Equation with Periodic Initial Data.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Low Regularity Local Well-Po sedness of the Derivative Nonlinear Schr¨ odinger Equation with Periodic Initial Data

Reference 19

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This paper cites The Fourier restriction norm method for the Zakharov-Kuznetsov equation.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ The Fourier restriction norm method for the Zakharov-Kuznetsov equation

Reference 20

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Observation df19c03c-3a59-403d-8fa9-8c85662952f9 · outbound

This paper cites The Zakharov–Kuznetsov equa tion in high dimensions: small initial data of critical regularity.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ The Zakharov–Kuznetsov equa tion in high dimensions: small initial data of critical regularity

Reference 21

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Observation 04585d51-1532-491b-b772-ec2c21900c82 · outbound

This paper cites The Cauchy problem for the generalized Zakhar ov–Kuznetsov equation on modulation spaces.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ The Cauchy problem for the generalized Zakhar ov–Kuznetsov equation on modulation spaces

Reference 22

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Observation dbfa9c8d-36ae-4eb3-80ac-06ce48b527d9 · outbound

This paper cites Well-posedness of th e initial value problem for the Korteweg-de Vries equation.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Well-posedness of th e initial value problem for the Korteweg-de Vries equation

Reference 23

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Observation 521f4461-07fe-456c-a836-195255276ed6 · outbound

This paper cites Global well-posedness for the Cauchy pr oblem of the Zakharov–Kuznetsov equation in 2D.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Global well-posedness for the Cauchy pr oblem of the Zakharov–Kuznetsov equation in 2D

Reference 24

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Observation dcf57f22-f99c-4f47-95bf-a68facf83c12 · outbound

This paper cites Loomis-Whitney-type ine qualities and low regularity well-posedness of the pe- riodic Zakharov-Kuznetsov equation.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Loomis-Whitney-type ine qualities and low regularity well-posedness of the pe- riodic Zakharov-Kuznetsov equation

Reference 25

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This paper cites Nonlinear ion-acoust ic waves in weak magnetic ﬁelds.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Nonlinear ion-acoust ic waves in weak magnetic ﬁelds

Reference 26

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Observation c439c568-9527-4512-a15c-d41e0606893b · outbound

This paper cites The Cauchy probl em for the Euler–Poisson system and derivation of the Zakharov–Kuznetsov equation.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ The Cauchy probl em for the Euler–Poisson system and derivation of the Zakharov–Kuznetsov equation

Reference 27

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Observation 85c651c7-efef-4720-9b4f-3061a43f264f · outbound

This paper cites On t he periodic Zakharov-Kuznetsov equation.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ On t he periodic Zakharov-Kuznetsov equation

Reference 28

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Observation 6029e927-4c42-43ed-bb4d-74f412f2dbc5 · outbound

This paper cites Local and global well-posedn ess for the 2D generalized Zakharov–Kuznetsov equa- tion.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Local and global well-posedn ess for the 2D generalized Zakharov–Kuznetsov equa- tion

Reference 29

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Observation 156d7da8-5ba8-4f49-ba97-39ff88d576ba · outbound

This paper cites Well-posedness for the two-d imensional modiﬁed Zakharov–Kuznetsov equation.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Well-posedness for the two-d imensional modiﬁed Zakharov–Kuznetsov equation

Reference 30

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Observation e41c6460-5779-4432-b074-e9b648076797 · outbound

This paper cites Well-Posedness for the ZK Equation in a Cylinder and on the Background of a KdV Soliton.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Well-Posedness for the ZK Equation in a Cylinder and on the Background of a KdV Soliton

Reference 31

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Observation e3940a45-e123-4602-9402-c44f421a1b8b · outbound

This paper cites The Cauchy problem for the L2–critical generalized Zakharov-Kuznetsov equa- tion in dimension 3.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ The Cauchy problem for the L2–critical generalized Zakharov-Kuznetsov equa- tion in dimension 3

Reference 32

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Observation b249b6d4-a067-4f39-9025-48f57befbba0 · outbound

This paper cites The Cauchy problem for the 3D Zakharov-Kuznetsov equation.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ The Cauchy problem for the 3D Zakharov-Kuznetsov equation

Reference 33

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Observation d5ced5d5-c597-443f-b8b7-474e21fe1d78 · outbound

This paper cites Random Data Cauchy Theo ry for Nonlinear Wave Equations of Power-Type on R3.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Random Data Cauchy Theo ry for Nonlinear Wave Equations of Power-Type on R3

Reference 34

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Observation a5605f2d-90fe-4c35-b9b8-1c6fbb8aa33e · outbound

This paper cites Bilinear Strichartz estimate s for the Zakharov–Kuznetsov equation and applications.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Bilinear Strichartz estimate s for the Zakharov–Kuznetsov equation and applications

Reference 35

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Observation 866b5386-248e-4286-a1f7-ada2fc339b33 · outbound

This paper cites Almost sure well-posednes s for the periodic 3D quintic nonlinear Schr¨ odinger equation below the energy space.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Almost sure well-posednes s for the periodic 3D quintic nonlinear Schr¨ odinger equation below the energy space

Reference 36

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This paper cites In variant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ In variant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS

Reference 37

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Observation 1571390f-b4de-4c9a-b96a-0339c2d000fd · outbound

This paper cites On the probabilist ic well-posedness of the nonlinear Schr¨ odinger equations with non-algebraic nonlinearities.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ On the probabilist ic well-posedness of the nonlinear Schr¨ odinger equations with non-algebraic nonlinearities

Reference 38

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Observation 2735d381-9fba-42ae-8838-25e5a0ecc335 · outbound

This paper cites Solving the 4NLS with wh ite noise initial data.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Solving the 4NLS with wh ite noise initial data

Reference 39

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Observation 96666619-9e97-4d09-a87d-727c18868356 · outbound

This paper cites Local well-posedness for the Zakharov-Kuznetsov equation in Sobolev spaces.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Local well-posedness for the Zakharov-Kuznetsov equation in Sobolev spaces

Reference 40

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Observation 93ab99f8-9caa-4e11-9398-924e85b9eedc · outbound

This paper cites Global well-posedness for Cau chy problems of Zakharov–Kuznetsov equations on cylindrical spaces.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Global well-posedness for Cau chy problems of Zakharov–Kuznetsov equations on cylindrical spaces

Reference 41

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Observation 5680ec48-a357-4dbb-ac02-caf68a6a38b3 · outbound

This paper cites A Note on the Cauchy problem for t he 2D generalized Zakharov–Kuznetsov equa- tions.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ A Note on the Cauchy problem for t he 2D generalized Zakharov–Kuznetsov equa- tions

Reference 42

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Observation 1a45ca75-bfb6-40e1-b8b4-1a1ada25164c · outbound

This paper cites Well-Posedness Results for the Three-Dimensional Zakharov–Kuznetsov Equation.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Well-Posedness Results for the Three-Dimensional Zakharov–Kuznetsov Equation

Reference 43

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Observation 641e1852-bee0-4842-bdab-535bfb09567e · outbound

This paper cites On the Cauchy problem for higher dimension al Benjamin-Ono and Zakharov-Kuznetsov equa- tions.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ On the Cauchy problem for higher dimension al Benjamin-Ono and Zakharov-Kuznetsov equa- tions

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T14:36:37.831724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 59c9ba5a-671f-46e5-b73a-0144af083d1e · outbound

This paper cites Nonlinear Dispersive Equations.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Nonlinear Dispersive Equations

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T14:36:37.800647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6baadd28-78fe-4c9e-be77-5387480dbb18 · outbound

This paper cites Three-dimensional solitons.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Three-dimensional solitons

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T14:36:37.781899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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