Rough blowup solutions to the \(L^2\) critical NLS

DOI10.1007/s00208-009-0355-3zbMath1387.35547OpenAlexW2035115426MaRDI QIDQ842306

Pierre Raphaël, James E. Colliander

Publication date: 22 September 2009

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-009-0355-3

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (9)

Polynomial-in-time upper bounds for the orbital instability of subcritical generalized Korteweg-de Vries equations ⋮ \(\log\)-\(\log\) blow up solutions blow up at exactly \(m\) points ⋮ Formation of singularities in nonlinear dispersive PDEs ⋮ On the \(L^2\)-critical nonlinear Schrödinger equation with a nonlinear damping ⋮ Low regularity blowup solutions for the mass-critical NLS in higher dimensions ⋮ On mass concentration for the critical generalized Korteweg–de Vries equation ⋮ Standing ring blow up solutions to the \(N\)-dimensional quintic nonlinear Schrödinger equation ⋮ A note on log-log blow up solutions for stochastic nonlinear Schrödinger equations ⋮ Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus

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