Global Regularity of Schrödinger Maps into the Hyperbolic Plane

ISBN-13: 9783659830594 / Angielski / Miękka / 2016 / 92 str.

Keya Zhu

Opis

It is about the global regularity of Schrödinger maps into the hyperbolic plane in dimensions greater than or equal to 3. In this book, we show that the Schrödinger map initial-value problem into the hyperbolic plane admits a unique global-in-time smooth solution provided the initial value of the Schrödinger map has a small norm in some suitable space.

O autorze

Keya Zhu received her Ph.D. degree in Mathematics from the University of Wisconsin-Madion under the supervision of Professor Alexandru D. Ionescu in 2009. Her research interests are harmonic analysis and its applications to evolutionary partial differential equations.