Norm inflation for a non-linear heat equation with Gaussian initial conditions (Q6606153)

scientific article; zbMATH DE number 7914048

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English	Norm inflation for a non-linear heat equation with Gaussian initial conditions	scientific article; zbMATH DE number 7914048

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instance of

scholarly article

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title

Norm inflation for a non-linear heat equation with Gaussian initial conditions (English)

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author

Ilya Chevyrev

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published in

Stochastic and Partial Differential Equations. Analysis and Computations

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publication date

16 September 2024

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zbMATH Keywords

nonlinear heat equation

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norm inflation

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Gaussian free field

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random Fourier series

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ill-posedness

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Yang-Mills heat flow

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MaRDI profile type

Publication

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cites work

Renormalising SPDEs in regularity structures

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Fourier Analysis and Nonlinear Partial Differential Equations

0 references

On the Probabilistic Cauchy Theory for Nonlinear Dispersive PDEs

0 references

Periodic nonlinear Schrödinger equation and invariant measures

0 references

Ill-posedness of the Navier-Stokes equations in a critical space in 3D

0 references

Random data Cauchy theory for supercritical wave equations I: Local theory

0 references

A state space for 3D Euclidean Yang-Mills theories

0 references

The Yang-Mills heat flow with random distributional initial data

0 references

Langevin dynamic for the 2D Yang-Mills measure

0 references

Stochastic quantisation of Yang-Mills-Higgs in 3D

0 references

Norm inflation for generalized Navier-Stokes equations

0 references

Pathological Set of Initial Data for Scaling-Supercritical Nonlinear Schrödinger Equations

0 references

Yang-Mills measure on the two-dimensional torus as a random distribution

0 references

Stochastic quantization of Yang–Mills

0 references

Norm-inflation with Infinite Loss of Regularity for Periodic NLS Equations in Negative Sobolev Spaces

0 references

Ill-Posedness of the Cubic Nonlinear Half-Wave Equation and Other Fractional NLS on the Real Line

0 references

A course on rough paths. With an introduction to regularity structures

0 references

A remark on norm inflation for nonlinear wave equations

0 references

Multidimensional Stochastic Processes as Rough Paths

0 references

PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES

0 references

Renormalization of the two-dimensional stochastic nonlinear wave equations

0 references

Global Dynamics for the Two-dimensional Stochastic Nonlinear Wave Equations

0 references

A theory of regularity structures

0 references

The Allen-Cahn equation with generic initial datum

0 references

Ill-posedness for the nonlinear Schrödinger equation with quadratic non-linearity in low dimensions

0 references

A remark on norm inflation for nonlinear Schrödinger equations

0 references

Differential equations driven by rough paths. Ecole d'Eté de Probabilités de Saint-Flour XXXIV -- 2004. Lectures given at the 34th probability summer school, July 6--24, 2004.

0 references

On the non-existence of path integrals

0 references

Concentration inequalities and model selection. Ecole d'Eté de Probabilités de Saint-Flour XXXIII -- 2003.

0 references

Remarks on the Cauchy problem for the one-dimensional quadratic (fractional) heat equation

0 references

The dynamic \({\Phi^4_3}\) model comes down from infinity

0 references

A Remark on Norm Inflation with General Initial Data for the Cubic Nonlinear Schr&ouml;dinger Equations in Negative Sobolev Spaces

0 references

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

0 references

On the ill-posedness of the cubic nonlinear Schr\"odinger equation on the circle

0 references

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

0 references

Gaussian free fields for mathematicians

0 references

Concerning the pathological set in the context of probabilistic well-posedness

0 references

Gaussian measures in finite and infinite dimensions

0 references

Global well posedness of the two-dimensional stochastic nonlinear wave equation on an unbounded domain

0 references

Theory of function spaces

0 references

Ill-posedness for the Navier-Stokes equations in critical Besov spaces \(\dot{B}_{\infty, q}^{- 1}\)

0 references

Generic IllPosedness for Wave Equation of Power Type on Three-Dimensional Torus

0 references

Ill-posedness of the 3D-Navier-Stokes equations in a generalized Besov space near \(\mathrm{BMO}^{-1}\)

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Identifiers

zbMATH Open document ID

1547.35784

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DOI

10.1007/s40072-023-00317-6

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6606153