Comparing the stochastic nonlinear wave and heat equations: a case study
DOI10.1214/20-EJP575zbMath1469.35270arXiv1908.03490MaRDI QIDQ2042850
Publication date: 21 July 2021
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.03490
renormalizationwhite noisestochastic nonlinear heat equationstochastic nonlinear wave equationstochastic quantization equation
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order hyperbolic equations (35L15) Semilinear parabolic equations (35K58) Second-order semilinear hyperbolic equations (35L71)
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Cites Work
- Unnamed Item
- Unnamed Item
- Renormalization group and stochastic PDEs
- Renormalized powers of Ornstein-Uhlenbeck processes and well-posedness of stochastic Ginzburg-Landau equations
- Fractional Brownian motion with Hurst index \({H = 0}\) and the Gaussian unitary ensemble
- Solving the KPZ equation
- A theory of regularity structures
- Stochastic integrals for SPDEs: a comparison
- Stochastic heat equation with rough dependence in space
- KPZ equation with fractional derivatives of white noise
- Invariant Gibbs measures for the 2-\(d\) defocusing nonlinear wave equations
- Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
- Stochastic evolution equations with fractional Brownian motion
- Strong solutions to the stochastic quantization equations.
- The dynamic \({\Phi^4_3}\) model comes down from infinity
- Algebraic renormalisation of regularity structures
- Construction of \(\Phi^4_3\) diagrams for pedestrians
- Paracontrolled distributions and the 3-dimensional stochastic quantization equation
- A nonlinear heat equation with singular initial data
- Stochastic heat equation with multiplicative fractional-colored noise
- Stochastic evolution equations with a spatially homogeneous Wiener process
- On the two-dimensional hyperbolic stochastic sine-Gordon equation
- On a non-linear 2D fractional wave equation
- Unique ergodicity for a class of stochastic hyperbolic equations with additive space-time white noise
- A remark on triviality for the two-dimensional stochastic nonlinear wave equation
- On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise
- A remark on norm inflation for nonlinear wave equations
- Global well-posedness of the dynamic \(\Phi^{4}\) model in the plane
- A nonlinear wave equation with fractional perturbation
- SPDEs with affine multiplicative fractional noise in space with index \(\frac{1}{4} < H < \frac{1}{2}\)
- PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
- Fourier Analysis and Nonlinear Partial Differential Equations
- Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ³
- STOCHASTIC NONLINEAR SCHRÖDINGER EQUATION WITH ALMOST SPACE–TIME WHITE NOISE
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- Probability
- An optimal regularity result on the quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation
- Renormalization of the two-dimensional stochastic nonlinear wave equations
- Stochastic PDEs, Regularity structures, and interacting particle systems
- The Stochastic Nonlinear Schrödinger Equation inH1
- Invariant Gibbs dynamics for the dynamical sine-Gordon model
- Stochastic Equations in Infinite Dimensions
- Atlas of products for wave-Sobolev spaces on ℝ¹⁺³
- Fractional Brownian Motions, Fractional Noises and Applications