||Dr. Hsi-Wei Shih(University of Minnesota)|
Some results on scattering for log-subcritical and log-supercritical nonlinear wave equations|
||2012-07-19 (Thu) 16:00 - 17:00 |
Place : ||
Seminar Room 722, Institute of Mathematics (NTU Campus)|
We consider two problems in the asymptotic behavior of semilinear second order wave equations.
First, we consider the scattering theory for the energy log-subcritical wave equation
in , where has logarithmic growth at . We discuss the solution with general (resp. spherically symmetric) initial data in the logarithmically
weighted (resp. lower regularity) Sobolev space.
The second problem studied here involves the energy log-supercritical wave equation
in . We prove the same results of global existence and scattering for the equation with a slightly
higher power of the logarithm factor in the nonlinearity than that allowed by the previous work of Tao.|