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Linear and Nonlinear Hyperbolic Equations

Gevrey class regularity for a strongly damped wave equation with hyperbolic dynamic boundary conditions

speaker: Jameson Graber (ENSTA ParisTech, Inria Saclay)

abstract: We examine a wave equation on a bounded domain in Euclidean space with strong internal damping, coupled with a wave equation on the boundary domain. We will show that the system generates a strongly continuous semigroup of contractions which, absent any strong damping on the boundary, is of Gevrey class regularity. This is stronger than differentiability, but weaker than analyticity of the semigroup.

timetable:
Tue 2 Jul, 18:30 - 19:00, Aula Dini
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