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Dispersive PDE Wiki

Welcome to the Dispersive PDE Wiki! These web pages are intended to present the latest results, conjectures, and other material on the local and global well-posedness problem (and related questions) for non-linear dispersive and wave equations. (Click here for a more detailed description of this wiki and its purpose.)

We welcome updates, corrections, and new contributions! Please click here for help on how to to do this.

Purpose of this page

Bibliography


The big three: Wave, Schrodinger, KdV

Wave equations

Schrodinger equations

KdV equations

Wave estimates

Schrodinger estimates

kdv:Airy estimates

[wave:semilinear Semilinear NLW/NLKG]]

schrodinger:Semilinear NLS

kdv:gKdV

[[wave:nlw-2 Quadratic NLW/NLKG]

schrodinger:Quadratic NLS

kdv:kdv KdV (gKdV-1)

Cubic NLW/NLKG

Cubic NLS

kdv:mkdv Modified KdV (gKdV-2)

wave:nlw-4 Quartic NLW/NLKG

Quartic NLS

gKdV-3

Quintic NLW/NLKG

Quintic NLS

gKdV-4

Septic NLW/NLKG

Septic NLS

wave:dnlw D-NLW

schrodinger:d-nls D-NLS

kdv:hierarchy The KdV hierachy

wave:dnlw-2 Quadratic DNLW

Quadratic DNLS

Cubic DNLS

wave:ddnlw DDNLW

DDNLS

wave:Quasilinear Quasilinear NLW

Quasilinear NLS

schrodinger:Hartree Hartree equation

kdv:Benjamin-Ono Benjamin-Ono equation


misc.html Other equations: