Invariance of white noise for KdV on the line
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Publication:2006709
DOI10.1007/s00222-020-00964-9zbMath1451.35165arXiv1904.11910OpenAlexW3010816801WikidataQ114715602 ScholiaQ114715602MaRDI QIDQ2006709
Jason Murphy, Rowan Killip, Monica Visan
Publication date: 12 October 2020
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.11910
KdV equations (Korteweg-de Vries equations) (35Q53) White noise theory (60H40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Random measures (60G57)
Related Items (11)
Global well-posedness for the fifth-order KdV equation in \(H^{-1}(\mathbb{R})\) ⋮ Construction of KdV flow: a unified approach ⋮ The wave maps equation and Brownian paths ⋮ On the well-posedness problem for the derivative nonlinear Schrödinger equation ⋮ Global well-posedness for \(H^{-1}(\mathbb{R})\) perturbations of KdV with exotic spatial asymptotics ⋮ The quasi-periodic Cauchy problem for the generalized Benjamin-Bona-Mahony equation on the real line ⋮ Global dynamics for the stochastic KdV equation with white noise as initial data ⋮ Microscopic conservation laws for integrable lattice models ⋮ Convergence problem of Schrödinger equation in Fourier-Lebesgue spaces with rough data and random data ⋮ Bi-infinite solutions for KdV- and Toda-type discrete integrable systems based on path encodings ⋮ KdV on an incoming tide
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