Ill-posedness issues for nonlinear dispersive equations

Tzvetkov, N.

Document type :

Pré-publication ou Document de travail

Title :

Ill-posedness issues for nonlinear dispersive equations

Author(s) :

Tzvetkov, N. [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

HAL domain(s) :

Physique [physics]/Matière Condensée [cond-mat]/Matière Molle [cond-mat.soft]

English abstract : [en]

These notes are devoted to the notion of well-posedness of the Cauchy problem for nonlinear dispersive equations. We present recent methods for proving ill-posedness type results for dispersive PDE's. The common feature ...
Show more >These notes are devoted to the notion of well-posedness of the Cauchy problem for nonlinear dispersive equations. We present recent methods for proving ill-posedness type results for dispersive PDE's. The common feature in the analysis is that the proof of such results requires the construction of high frequency approximate solutions on small time intervals (possibly depending on the frequency).Show less >

Language :

Anglais

Comment :

Notes based on a course given at Hokkaido University in September 2004

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

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