engleski

Propagation principle for parabolic H-measures

We extend results obtained by Francfort (2006) to parabolic H- measures developed by Antoni ́c and Lazar (2013). The well known theory of pseudodifferential operators is extended to parabolic classes of symbols and operators and used to obtain results applicable to a wide class of partial differential equations. The main result is the prop- agation principle which is then applied to the Schr ̈odinger equation and the vibrating plate equation.

parabolic H-measures ; localisation principle ; propagation principle ; the Schr ̈odinger equation ; the vibrating plate equation

nije evidentirano