Global existence and internal nonlinear stabilization of an elasticity system. (Existence globale et stabilisation interne non linéaire d'un système d'élasticité.)
Global existence and nonlinear boundary stabilization of an elastic system. (Existence globale et stabilisation frontière non linéaire d'un système d'élasticité.)
Global existence for a quasilinear wave equation outside of star-shaped domains
This talk describes joint work with Chris Sogge and Markus Keel, in which we establish a global existence theorem for null-type quasilinear wave equations in three space dimensions, where we impose Dirichlet conditions on a smooth, compact star-shaped obstacle . The key tool, following Christodoulou [1], is to use the Penrose compactification of Minkowski space. In the case under consideration, this reduces matters to a local existence theorem for a singular obstacle problem. Full details will...
Global solutions of the equations of elastodynamics for incompressible materials.
Goursat and Darboux type problems for linear hyperbolic partial differential equations and systems.