Wave Seminar On an identity for analytic solutions to the Schr\"odinger equation

2006-12-05 16:00 - 2006-12-05 17:30
Faculty of Science Building #3 Room 311
Kazuyuki Yamauchi (Sapporo University)
It is known that the free Schr\"odinger equation has analyticsolutions provided the initial data exponentially decays.As for analytic solutions some integral identities are discovered,however little is known about some of them by usual arguments.Our study intends to clarify the representation of continuations foranalytic solutions. By using this representation we generalizeidentities which are discovered by N. Hayashi and S. Saitoh in 1990.Reference:N. Hayashi and S. Saitoh:Analytic smoothing effect for the Schr\"odinger equation,Ann. Inst. Henri Poincar\'e Physique th\'eorique 52 (1990)163-173