Norm inflation for a non-linear heat equation with Gaussian initial conditions
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Publication:6606153
DOI10.1007/s40072-023-00317-6zbMath1547.35784MaRDI QIDQ6606153
Publication date: 16 September 2024
Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)
nonlinear heat equationill-posednessYang-Mills heat flowrandom Fourier seriesGaussian free fieldnorm inflation
Initial-boundary value problems for second-order parabolic equations (35K20) PDEs with randomness, stochastic partial differential equations (35R60) Semilinear parabolic equations (35K58)
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Cites Work
- Ill-posedness for the Navier-Stokes equations in critical Besov spaces \(\dot{B}_{\infty, q}^{- 1}\)
- A theory of regularity structures
- Remarks on the Cauchy problem for the one-dimensional quadratic (fractional) heat equation
- Concentration inequalities and model selection. Ecole d'Eté de Probabilités de Saint-Flour XXXIII -- 2003.
- 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.
- Random data Cauchy theory for supercritical wave equations I: Local theory
- Ill-posedness of the 3D-Navier-Stokes equations in a generalized Besov space near \(\mathrm{BMO}^{-1}\)
- Theory of function spaces
- Ill-posedness of the Navier-Stokes equations in a critical space in 3D
- Periodic nonlinear Schrödinger equation and invariant measures
- The dynamic \({\Phi^4_3}\) model comes down from infinity
- A remark on norm inflation for nonlinear Schrödinger equations
- Yang-Mills measure on the two-dimensional torus as a random distribution
- Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on \(\mathbb R^d\), \(d=4\) and \(5\)
- Global well posedness of the two-dimensional stochastic nonlinear wave equation on an unbounded domain
- Langevin dynamic for the 2D Yang-Mills measure
- A remark on norm inflation for nonlinear wave equations
- Concerning the pathological set in the context of probabilistic well-posedness
- Gaussian free fields for mathematicians
- Renormalising SPDEs in regularity structures
- Norm inflation for generalized Navier-Stokes equations
- PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
- Fourier Analysis and Nonlinear Partial Differential Equations
- Multidimensional Stochastic Processes as Rough Paths
- On the non-existence of path integrals
- Renormalization of the two-dimensional stochastic nonlinear wave equations
- A Remark on Norm Inflation with General Initial Data for the Cubic Nonlinear Schrödinger Equations in Negative Sobolev Spaces
- Ill-Posedness of the Cubic Nonlinear Half-Wave Equation and Other Fractional NLS on the Real Line
- Norm-inflation with Infinite Loss of Regularity for Periodic NLS Equations in Negative Sobolev Spaces
- Generic IllPosedness for Wave Equation of Power Type on Three-Dimensional Torus
- Global Dynamics for the Two-dimensional Stochastic Nonlinear Wave Equations
- On the ill-posedness of the cubic nonlinear Schr\"odinger equation on the circle
- On the Probabilistic Cauchy Theory for Nonlinear Dispersive PDEs
- Ill-posedness for the nonlinear Schrödinger equation with quadratic non-linearity in low dimensions
- Stochastic quantization of Yang–Mills
- A course on rough paths. With an introduction to regularity structures
- Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on \(\mathbb R^3\)
- Gaussian measures in finite and infinite dimensions
- The Yang-Mills heat flow with random distributional initial data
- Pathological Set of Initial Data for Scaling-Supercritical Nonlinear Schrödinger Equations
- A state space for 3D Euclidean Yang-Mills theories
- The Allen-Cahn equation with generic initial datum
- Stochastic quantisation of Yang-Mills-Higgs in 3D
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