Random Data Wave Equations (Q5038377)

scientific article; zbMATH DE number 7595021

Language	Label	Description	Also known as
English	Random Data Wave Equations	scientific article; zbMATH DE number 7595021

Statements

instance of

scholarly article

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title

Random Data Wave Equations (English)

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published in

Lecture Notes in Mathematics

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publication date

30 September 2022

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full work available at URL

https://arxiv.org/abs/1704.01191

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zbMATH Keywords

low regularity Sobolev spaces

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regularising properties

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author

Nickolay Tzvetkov

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MaRDI profile type

MaRDI publication profile

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cites work

$L^p$ properties for Gaussian random series

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Invariant Gibbs measure evolution for the radial nonlinear wave equation on the 3d ball

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Probabilistic well-posedness for the cubic wave equation

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Global infinite energy solutions for the cubic wave equation

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Maximal functions associated to filtrations

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Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations

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Strong solutions to the stochastic quantization equations.

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Generalized Strichartz inequalities for the wave equation

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Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity

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Regularity for the wave equation with a critical nonlinearity

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PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES

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Solving the KPZ equation

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On existence and scattering with minimal regularity for semilinear wave equations

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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 dynamic ${\Phi^4_3}$ model comes down from infinity

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Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space

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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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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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On nonlinear transformations of Gaussian measures

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Adapted linear-nonlinear decomposition and global well-posedness for solutions to the defocusing cubic wave equation on $\mathbb R^3$

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Q4317280

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Probabilistic well-posedness for supercritical wave equations with periodic boundary condition on dimension three

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Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation

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QUASIINVARIANT GAUSSIAN MEASURES FOR ONE-DIMENSIONAL HAMILTONIAN PARTIAL DIFFERENTIAL EQUATIONS

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Identifiers

zbMATH Open document ID

1498.60299

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DOI

10.1007/978-3-030-29545-5_4

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5038377