PDE seminar: A semilinear hyperbolic system violating the nullcondition
 Date

2012123 16:30 
2012123 17:30
 Place
 Faculty of Science Building #3, Room 309

Speaker/Organizer
 Soichiro Katayama (Wakayama University)

 We consider the Cauchy problem for a twocomponent
system of semilinear wave equations in three
space dimensions. We treat a certain system which
does not satisfy the null condition of Klainerman, but
whose solution is expected to have bounded energy.
We show the global existence of classical solutions for
small initial data. We also show that one component
will lose its energy, while the other behaves like a
nontrivial free solution in the large time. This talk is
base on a joint work with H. Sunagawa and T. Matoba.