Pathwise regularization of the stochastic heat equation with multiplicative noise through irregular perturbation
From MaRDI portal
Publication:6187893
DOI10.1214/22-aihp1302arXiv2101.00915OpenAlexW3119538056MaRDI QIDQ6187893
Fabian A. Harang, Rémi Catellier
Publication date: 16 January 2024
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.00915
stochastic heat equationgeneralized parabolic Anderson modelfractional Lévy processespathwise regularization by noise
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Rough paths (60L20) Regularization by noise (60H50)
Cites Work
- A Fourier analytic approach to pathwise stochastic integration
- Averaging along irregular curves and regularisation of ODEs
- Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths
- New results on pathwise uniqueness for the heat equation with colored noise
- Nonuniqueness for a parabolic SPDE with \(\frac{3}{4}-\varepsilon \)-Hölder diffusion coefficients
- Stochastic partial differential equations: an introduction
- Pathwise uniqueness for an SPDE with Hölder continuous coefficient driven by \(\alpha\)-stable noise
- Ten equivalent definitions of the fractional Laplace operator
- Pathwise uniqueness for stochastic heat equations with Hölder continuous coefficients: The white noise case
- Averaging dynamics driven by fractional Brownian motion
- On pathwise uniqueness for stochastic heat equations with non-Lipschitz coefficients
- Pathwise uniqueness of the stochastic heat equation with spatially inhomogeneous white noise
- Regularization by noise and flows of solutions for a stochastic heat equation
- Optimum bounds for the distributions of martingales in Banach spaces
- A nonlinear stochastic heat equation: Hölder continuity and smoothness of the density of the solution
- A stochastic sewing lemma and applications
- Volterra equations driven by rough signals
- Quasilinear generalized parabolic Anderson model equation
- Global well-posedness of the dynamic \(\Phi^{4}\) model in the plane
- Small deviations for fractional stable processes
- Analysis in Banach Spaces
- PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
- Fourier Analysis and Nonlinear Partial Differential Equations
- Differential Equations Driven by Rough Paths: An Approach via Discrete Approximation
- ROUGH VOLTERRA EQUATIONS 1: THE ALGEBRAIC INTEGRATION SETTING
- C∞− regularization of ODEs perturbed by noise
- On the uniqueness and non‐uniqueness of solutions of initial value problems for some quasi‐linear parabolic equations
- REGULARIZATION OF QUASILINEAR HEAT EQUATIONS BY A FRACTIONAL NOISE
- A course on rough paths. With an introduction to regularity structures
- Unnamed Item
- Unnamed Item
- Unnamed Item
