Random Data Wave Equations
From MaRDI portal
Publication:5038377
DOI10.1007/978-3-030-29545-5_4zbMath1498.60299arXiv1704.01191OpenAlexW2607039216MaRDI QIDQ5038377
Publication date: 30 September 2022
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.01191
Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Second-order semilinear hyperbolic equations (35L71) Regularization by noise (60H50)
Related Items
Statistical deconvolution of the free Fokker-Planck equation at fixed time ⋮ Probabilistic local Cauchy theory of the cubic nonlinear wave equation in negative Sobolev spaces ⋮ Probabilistic global well-posedness for a viscous nonlinear wave equation modeling fluid–structure interaction ⋮ Decoupling inequality for paraboloid under shell type restriction and its application to the periodic Zakharov system ⋮ Nonlinear PDE in the presence of singular randomness ⋮ Random data final-state problem of fourth-order inhomogeneous NLS ⋮ Global dynamics for the stochastic KdV equation with white noise as initial data ⋮ Weak vorticity formulation of 2D Euler equations with white noise initial condition ⋮ Concerning the pathological set in the context of probabilistic well-posedness
Cites Work
- Unnamed Item
- Unnamed Item
- Solving the KPZ equation
- Almost sure well-posedness of the cubic nonlinear Schrödinger equation below \(L^{2}(\mathbb{T})\)
- A theory of regularity structures
- Invariant measures and long time behaviour for the Benjamin-Ono equation. II.
- Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space
- Equations différentielles sur l'espace de Wiener et formules de Cameron- Martin non-linéaires
- Adapted linear-nonlinear decomposition and global well-posedness for solutions to the defocusing cubic wave equation on \(\mathbb R^3\)
- Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation
- Random data Cauchy theory for supercritical wave equations. II. A global existence result
- Random data Cauchy theory for supercritical wave equations I: Local theory
- Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
- Regularity results for nonlinear wave equations
- Periodic nonlinear Schrödinger equation and invariant measures
- On global solutions to a defocusing semi-linear wave equation.
- Strong solutions to the stochastic quantization equations.
- Discretisations of rough stochastic PDEs
- A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting
- The dynamic \({\Phi^4_3}\) model comes down from infinity
- Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation.
- On nonlinear transformations of Gaussian measures
- On existence and scattering with minimal regularity for semilinear wave equations
- Generalized Strichartz inequalities for the wave equation
- Invariant measures for the 2D-defocusing nonlinear Schrödinger equation
- Oscillatory integral estimates and global well-posedness for the 2D Boussinesq equation
- Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on \(\mathbb R^d\), \(d=4\) and \(5\)
- Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation
- Probabilistic well-posedness for supercritical wave equations with periodic boundary condition on dimension three
- Probabilistic well-posedness for the cubic wave equation
- Invariant Gibbs measure evolution for the radial nonlinear wave equation on the 3d ball
- On equivalence of infinite product measures
- Transformations of Wiener integrals under translations
- On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ^{𝕕}, 𝕕≥3
- Invariant Measures and Long-Time Behavior for the Benjamin–Ono Equation
- Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on ℝ3
- PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
- QUASIINVARIANT GAUSSIAN MEASURES FOR ONE-DIMENSIONAL HAMILTONIAN PARTIAL DIFFERENTIAL EQUATIONS
- $L^p$ properties for Gaussian random series
- Regularity for the wave equation with a critical nonlinearity
- Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
- Global well-posedness for semi-linear wave equations
- A Remark on Norm Inflation with General Initial Data for the Cubic Nonlinear Schrödinger Equations in Negative Sobolev Spaces
- Perte de régularité pour les équations d’ondes sur-critiques
- Global infinite energy solutions for the cubic wave equation
- Maximal functions associated to filtrations
- Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on \(\mathbb R^3\)
