Existence globale et diffusion pour l’équation de Schrödinger non linéaire répulsive cubique sur $mathbb{R}^3$ en dessous l’espace d’énergie

J. Colliander; M. Keel; G. Staffilani; H. Takaoka; T. Tao

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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 $𝒦 \subset ℝ^{3}$ . 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...

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Displaying similar documents to “Existence globale et diffusion pour l’équation de Schrödinger non linéaire répulsive cubique sur m a t h b b R 3 en dessous l’espace d’énergie”

Displaying similar documents to “Existence globale et diffusion pour l’équation de Schrödinger non linéaire répulsive cubique sur $m a t h b b R^{3}$ en dessous l’espace d’énergie”