On the two-dimensional hyperbolic stochastic sine-Gordon equation

DOI10.1007/s40072-020-00165-8zbMath1470.35450arXiv1907.06055OpenAlexW3005483704WikidataQ114219591 ScholiaQ114219591MaRDI QIDQ2045404

Tristan Robert, Philippe Sosoe, Tadahiro Oh, Yu-Zhao Wang

Publication date: 12 August 2021

Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.06055

zbMATH Keywords

renormalizationwhite noiseGaussian multiplicative chaos

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Second-order semilinear hyperbolic equations (35L71)

Related Items (11)

Probabilistic local Cauchy theory of the cubic nonlinear wave equation in negative Sobolev spaces ⋮ Exact asymptotics of the stochastic wave equation with time-independent noise ⋮ Invariant Gibbs dynamics for the two-dimensional Zakharov-Yukawa system ⋮ A remark on triviality for the two-dimensional stochastic nonlinear wave equation ⋮ Invariant Gibbs dynamics for the dynamical sine-Gordon model ⋮ On the parabolic and hyperbolic Liouville equations ⋮ Comparing the stochastic nonlinear wave and heat equations: a case study ⋮ Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise ⋮ Effective approximation of stochastic sine-Gordon equation with a fast oscillation ⋮ On the two-dimensional singular stochastic viscous nonlinear wave equations ⋮ Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Renormalized powers of Ornstein-Uhlenbeck processes and well-posedness of stochastic Ginzburg-Landau equations
• Triviality of the 2D stochastic Allen-Cahn equation
• A theory of regularity structures
• Theory of Bessel potentials. I
• Invariant Gibbs measures for the 2-\(d\) defocusing nonlinear wave equations
• Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
• Periodic nonlinear Schrödinger equation and invariant measures
• Strong solutions to the stochastic quantization equations.
• Product rule and chain rule estimates for fractional derivatives on spaces that satisfy the doubling condition
• On existence and scattering with minimal regularity for semilinear wave equations
• Generalized Strichartz inequalities for the wave equation
• On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness
• Invariant measures for the 2D-defocusing nonlinear Schrödinger equation
• New examples of probabilistic well-posedness for nonlinear wave equations
• A remark on triviality for the two-dimensional stochastic nonlinear wave equation
• Dynamical Liouville
• Complex Gaussian multiplicative chaos
• Blowup behaviour for the nonlinear Klein-Gordon equation
• The dynamical sine-Gordon model
• Canonical Stochastic Quantization
• A model unified field equation
• The sine-gordon and sinh-gordon equations on the circle
• Endpoint Strichartz estimates
• Trivial solutions for a non-lineartwo-space dimensional wave equation perturbed by space-time white noise
• Renormalization of the two-dimensional stochastic nonlinear wave equations
• Global Dynamics for the Two-dimensional Stochastic Nonlinear Wave Equations
• Stochastic Equations in Infinite Dimensions
• Classical Fourier Analysis
• Modern Fourier Analysis
• Classical and quantum statistical mechanics in one and two dimensions: two-component Yukawa- and Coulomb systems.
• A two-space dimensional semilinear heat equation perturbed by (Gaussian) white noise

This page was built for publication: On the two-dimensional hyperbolic stochastic sine-Gordon equation