Wave Seminar A remark on an iterative procedure for solving a Cauchy problem

2007-04-20 16:00 - 2007-04-20 17:30
Faculty of Science Building #4 Room 409
Sei Nagayasu (Hokkaido Univ.)
We consider a PDE with noisy Cauchy data. An iterativeprocedure is one of answers to this problem. Iterativeprocedures are often considered under the framework ofL2, and approximate solutions in the sense of L2 areconstructed from noisy data. However, we sometimes wantan approximate solution in the sense of a higherregularity than L2. So, we try to construct anapproximate solution in the sense of some Sobolev normby an iterative procedure.