PDE seminar: On the null condition for nonlinear wave equations

2012-10-22 16:30 - 2012-10-22 17:30
Faculty of Science Building #3, Room 309
Hideo Kubo (Faculty of Science, Hokkaido University)
In this talk I’d like to discuss the null condition for
the system of nonlinear wave equations, the nonlinear
elastic equation, and the massless Dirac
equation. In particular, it is of special interest how
the null condition restricts the algebraic structure of
quadratic forms associated with the corresponding
linear part of the equation and produces strong
decay property of quadratic nonlinearities. This
consideration naturally leads to a global existence
result for the initial value problem with small initial