| Speaker: Dr Marcus Waurick Affiliation: University of Bath Time: 11:00 Thursday, 9 February, 2017 Location: 303-B07 |
| In this talk, we will discuss an operator-theoretic framework in Hilbert spaces for describing a certain class of partial differential equations, the class of co-called "evolutionary equation". This class comprises of the heat equation, the wave equation, Maxwell's equations and coupled systems thereof. Equations changing its type (hyperbolic, parabolic, elliptic) on different subsets of the underlying spatial domain can be treated as well. We will provide a well-posedness result for the class introduced and eventually aim for addressing the continuous dependence of the solutions on the (operator-)coefficients involved under the norm, the strong and the weak operator topology. |