Probabilistic global well-posedness to the nonlocal Degasperis-Procesi equation (Q6152258)

scientific article; zbMATH DE number 7803697

Language	Label	Description	Also known as
English	Probabilistic global well-posedness to the nonlocal Degasperis-Procesi equation	scientific article; zbMATH DE number 7803697

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instance of

scholarly article

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title

Probabilistic global well-posedness to the nonlocal Degasperis-Procesi equation (English)

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Statistics \& Probability Letters

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publication date

13 February 2024

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zbMATH Keywords

global well-posedness

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Degasperis-Procesi equation

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fractional Burgers equation

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randomization

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.spl.2023.110000

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cites work

Global well-posedness for the Cauchy problem of the viscous Degasperis-Procesi equation

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Periodic nonlinear Schrödinger equation and invariant measures

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Random data Cauchy theory for supercritical wave equations. II. A global existence result

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Probabilistic well-posedness for the cubic wave equation

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The Cauchy problem for the Hartree equations under random influences

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On the well-posedness of the Degasperis-Procesi equation

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Almost sure well-posedness of the cubic nonlinear Schrödinger equation below \(L^{2}(\mathbb{T})\)

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The Hamiltonian structure of the Camassa-Holm equation

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Q4508328

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Two-dimensional nonlinear Schrödinger equation with random radial data

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Random-data Cauchy problem for the Navier-Stokes equations on \(\mathbb T^3\)

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Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation

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Finite time singularities and global well-posedness for fractal Burgers equations

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Global weak solutions and blow-up structure for the Degasperis-Procesi equation

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Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation

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Symplectic structures, their Bäcklund transformations and hereditary symmetries

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On the Cauchy problem for the Degasperis-Procesi equation

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Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE

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Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs

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The Focusing Energy-Critical Nonlinear Wave Equation With Random Initial Data

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Global existence and blow-up phenomena for the Degasperis-Procesi equation

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On the Blow-up Phenomena for the Degasperis-Procesi Equation

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Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on ℝ<sup>3</sup>

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On the almost sure global well-posedness of energy sub-critical nonlinear wave equations on \(\mathbb R^{3}\)

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Formation and dynamics of shock waves in the Degasperis-Procesi equation

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Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS

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Almost Sure Existence of Global Weak Solutions for Supercritical Navier--Stokes Equations

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Fourier Integrals in Classical Analysis

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Q5475508

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The attractor on viscosity Degasperis-Procesi equation

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Almost sure existence of global weak solutions to the 3D incompressible Navier-Stokes equation

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Global existence for a new periodic integrable equation.

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On the Cauchy problem for an integrable equation with peakon solutions

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Global solutions to a new integrable equation with peakons

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Global weak solutions for a new periodic integrable equation with peakon solutions

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Random data Cauchy theory for the generalized incompressible Navier-Stokes equations

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.SPL.2023.110000

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Sitelinks

Mathematics(1 entry)

mardi Publication:6152258