A remark on randomization of a general function of negative regularity (Q6633119)

scientific article; zbMATH DE number 7939035

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English	A remark on randomization of a general function of negative regularity	scientific article; zbMATH DE number 7939035

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scholarly article

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title

A remark on randomization of a general function of negative regularity (English)

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Proceedings of the American Mathematical Society. Series B

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publication date

5 November 2024

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zbMATH Keywords

probabilistic well-posedness

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Wick power

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random initial data

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stochastic forcing

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Fourier-Lebesgue space

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MaRDI profile type

Publication

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cites work

Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS

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Periodic nonlinear Schrödinger equation and invariant measures

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Invariant Gibbs measures for the three dimensional cubic nonlinear wave equation

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Global infinite energy solutions for the cubic wave equation

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Probabilistic well-posedness for the cubic wave equation

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A remark on the well-posedness of the modified KdV equation in the Fourier-Lebesgue spaces

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A refined well-posedness result for the modified KdV equation in the Fourier-Lebesgue spaces

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Periodic Solutions of the Korteweg--de Vries Equation Driven by White Noise

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Random tensors, propagation of randomness, and nonlinear dispersive equations

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

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STOCHASTIC NONLINEAR SCHRÖDINGER EQUATION WITH ALMOST SPACE–TIME WHITE NOISE

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A remark on norm inflation for nonlinear wave equations

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Renormalization of the two-dimensional stochastic nonlinear wave equations

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Paracontrolled approach to the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity

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Global Dynamics for the Two-dimensional Stochastic Nonlinear Wave Equations

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Non-Existence of Solutions for the Periodic Cubic NLS below ${L}^{{2}}$

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Probabilistic local wellposedness of 1D quintic NLS below $L^2(\mathbb{R})$

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

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The Malliavin Calculus and Related Topics

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Periodic stochastic Korteweg-de Vries equation with additive space-time white noise

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Comparing the stochastic nonlinear wave and heat equations: a case study

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On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities

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A remark on triviality for the two-dimensional stochastic nonlinear wave equation

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Uniqueness and non-uniqueness of the Gaussian free field evolution under the two-dimensional Wick ordered cubic wave equation

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Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on $\mathbb R^3$

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A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting

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Probabilistic local Cauchy theory of the cubic nonlinear wave equation in negative Sobolev spaces

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On the two-dimensional hyperbolic stochastic sine-Gordon equation

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Invariant Gibbs dynamics for the dynamical sine-Gordon model

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On the parabolic and hyperbolic Liouville equations

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A Pedestrian approach to the invariant Gibbs measures for the 2-$d$ defocusing nonlinear Schrödinger equations

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Invariant Gibbs measures for the 2-$d$ defocusing nonlinear wave equations

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Solving the 4NLS with white noise initial data

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GLOBAL WELL-POSEDNESS OF THE PERIODIC CUBIC FOURTH ORDER NLS IN NEGATIVE SOBOLEV SPACES

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Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise

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Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on $\mathbb R^d$, $d=4$ and $5$

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Gibbs measure for the periodic derivative nonlinear Schrödinger equation

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Identifiers

DOI

10.1090/bproc/241

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6633119