Invariant Measure for a Three Dimensional Nonlinear Wave Equation
From MaRDI portal
Publication:5439942
DOI10.1093/imrn/rnm108zbMath1134.35076arXiv0707.1445OpenAlexW2964349632MaRDI QIDQ5439942
Nicolas Burq, Nickolay Tzvetkov
Publication date: 30 January 2008
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0707.1445
well-posednessprobabilityDirichlet boundary conditionnonlinear wave equationradial functionrandom initial data
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items
Invariance of the Gibbs measures for periodic generalized Korteweg-de Vries equations ⋮ Invariant Measures and the Soliton Resolution Conjecture ⋮ Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation ⋮ Almost sure well-posedness of the cubic nonlinear Schrödinger equation below \(L^{2}(\mathbb{T})\) ⋮ Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS ⋮ Well-posedness of the stochastic KdV-Burgers equation ⋮ Gibbs Measure Dynamics for the Fractional NLS ⋮ Random data Cauchy theory for supercritical wave equations. II. A global existence result ⋮ Random data Cauchy theory for supercritical wave equations I: Local theory ⋮ Randomization and the Gross-Pitaevskii hierarchy ⋮ Almost sure global well-posedness for the energy supercritical Schrödinger equations ⋮ Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on \(\mathbb R^d\), \(d=4\) and \(5\) ⋮ Local existence of solutions to randomized Gross-Pitaevskii hierarchies ⋮ Long time dynamics for the one dimensional non linear Schrödinger equation ⋮ Invariant measure and large time dynamics of the cubic Klein-Gordon equation in \(3D\) ⋮ Stationary solutions to the compressible Navier-Stokes system driven by stochastic forces ⋮ A Pedestrian approach to the invariant Gibbs measures for the 2-\(d\) defocusing nonlinear Schrödinger equations ⋮ Invariance of the white noise for KdV