Almost sure global well posedness for the BBM equation with infinite \(L^2\) initial data
DOI10.3934/dcds.2020011zbMath1434.35157arXiv1901.03854OpenAlexW2981034895MaRDI QIDQ2281571
Publication date: 3 January 2020
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.03854
stabilityBBM equationill-posednessalmost sure global well-posednessnorm inflationalmost sure local well-posedness
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Ill-posed problems for PDEs (35R25) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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