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- W1937169201 abstract "In this paper we present a method to study global regularity properties of solutions of large-data critical Schrodinger equations on certain noncompact Riemannian manifolds. We rely on concentration compactness arguments and a global Morawetz inequality adapted to the geometry of the manifold (in other words we adapt the method of Kenig-Merle to the variable coefficient case), and a good understanding of the corresponding Euclidean problem (in our case the main theorem of Colliander-Keel-Staffilani-Takaoka-Tao). As an application we prove global well-posedness and scattering in $H^1$ for the energy-critical defocusing initial-value problem (ipartial_t+Delta_g)u=u|u|^{4} on the hyperbolic space $H^3$." @default.
- W1937169201 created "2016-06-24" @default.
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- W1937169201 date "2010-08-06" @default.
- W1937169201 modified "2023-09-27" @default.
- W1937169201 title "On the global well-posedness of energy-critical Schrodinger equations in curved spaces" @default.
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