Near Soliton Evolution for Equivariant Schrodinger Maps in Two Spatial Dimensions

Ioan Bejenaru, Daniel Tataru (Autoren)

Buch | Softcover

108 Seiten

2014
American Mathematical Society (Verlag)
978-0-8218-9215-2 (ISBN)

Titel z.Zt. nicht lieferbar
Versandkostenfrei
Auch auf Rechnung

Artikel merken

The authors consider the Schrödinger Map equation in 2 1 dimensions, with values into S². This admits a lowest energy steady state Q , namely the stereographic projection, which extends to a two dimensional family of steady states by scaling and rotation. The authors prove that Q is unstable in the energy space ?¹. However, in the process of proving this they also show that within the equivariant class Q is stable in a stronger topology XC?¹.

Ioan Bejenaru, University of California, San Diego, La Jolla, CA. Daniel Tataru, University of California, Berkeley, Berkeley, CA.

Introduction
An outline of the paper
The Coulomb gauge representation of the equation
Spectral analysis for the operators H, H ~ ; the X,LX spaces
The linear H ~ Schrödinger equation
The time dependent linear evolution
Analysis of the gauge elements in X,LX
The nonlinear equation for ?
The bootstrap estimate for the ? parameter
The bootstrap argument
The ?¹ instability result
Bibliography

Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Gewicht	256 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
ISBN-10	0-8218-9215-0 / 0821892150
ISBN-13	978-0-8218-9215-2 / 9780821892152
Zustand	Neuware