Jens Wirth (Stuttgart)

Dispersive estimates for hyperbolic systems

Abstract: Dispersive estimates for (constant coefficient) hyperbolic systems are intimately connected to geometric properties of associated Fresnel surfaces. In variable coefficient settings this is replaced by properties of families of surfaces. The talk will provide some detailed results for time-dependent hyperbolic systems where representations of solutions are almost explicit and give some hints for further generalisations. The talk is based on joint work with Michael Ruzhansky.