On mass concentration for the critical generalized Korteweg–de Vries equation

DOI10.1017/S001309151500019XzbMath1339.35273MaRDI QIDQ2806132

Brian Pigott

Publication date: 13 May 2016

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

blow-upmass concentrationKorteweg-de Vries (KdV) equationcritical norm

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Blow-up in context of PDEs (35B44)

Related Items (2)

Nonlinear profile decomposition and the concentration phenomenon for supercritical generalized KDV equations ⋮ Mass-concentration of low-regularity blow-up solutions to the focusing 2D modified Zakharov-Kuznetsov equation

Cites Work

• Unnamed Item
• Global rough solutions to the critical generalized KdV equation
• Rough blowup solutions to the \(L^2\) critical NLS
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• Blow up for the critical generalized Korteweg-de Vries equation. I: Dynamics near the soliton
• Existence of blow-up solutions in the energy space for the critical generalized KdV equation
• Blow up in finite time and dynamics of blow up solutions for the 𝐿²–critical generalized KdV equation
• Mass Concentration Phenomenon for the Quintic Nonlinear Schrödinger Equation in One Dimension

This page was built for publication: On mass concentration for the critical generalized Korteweg–de Vries equation