On the smoothing properties of solutions to the modified Korteweg-de Vries equation
From MaRDI portal
Publication:1313494
DOI10.1006/jdeq.1993.1103zbMath0794.35117OpenAlexW2037442142MaRDI QIDQ1313494
Marcia Scialom, Felipe Linares
Publication date: 13 September 1994
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1993.1103
Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
Related Items
Global smoothing for the Davey-Stewartson system on \(\mathbb{R}^2\) ⋮ Smoothing and growth bound of periodic generalized Korteweg–De Vries equation ⋮ On the regularity of solutions to a class of nonlinear dispersive equations ⋮ Nonlinear smoothing for dispersive PDE: a unified approach ⋮ Local well-posedness in weighted Sobolev spaces for nonlinear dispersive equations with applications to dispersive blow up ⋮ Dispersive blow-up. II: Schrödinger-type equations, optical and oceanic rogue waves ⋮ Non-existence of small-amplitude doubly periodic waves for dispersive equations ⋮ Long-time asymptotics of the coupled modified Korteweg-de Vries equation ⋮ Weak asymptotics method and the interaction of infinitely narrow \(\delta\)-solitons. ⋮ Dispersive blow-up for solutions of the Zakharov-Kuznetsov equation ⋮ Nonlinear smoothing and unconditional uniqueness for the Benjamin-Ono equation in weighted Sobolev spaces ⋮ Dispersive blow-up for nonlinear Schrödinger equations revisited ⋮ Dispersive blow-up and persistence properties for the Schrödinger–Korteweg–de Vries system ⋮ Global well-posedness for the modified korteweg-de vries equation
