Gravitational lensing from a spacetime perspective.
Perlick, Volker (2004)
Living Reviews in Relativity [electronic only]
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Perlick, Volker (2004)
Living Reviews in Relativity [electronic only]
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Dinu, Liviu Florin, Dinu, Marina Ileana (2010)
Balkan Journal of Geometry and its Applications (BJGA)
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Crăciun, Ion Al. (2008)
Acta Universitatis Apulensis. Mathematics - Informatics
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Susumu Tanabé (1999)
Banach Center Publications
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We give a geometric descriptions of (wave) fronts in wave propagation processes. Concrete form of defining function of wave front issued from initial algebraic variety is obtained by the aid of Gauss-Manin systems associated with certain complete intersection singularities. In the case of propagations on the plane, we get restrictions on types of possible cusps that can appear on the wave front.
Parkes, E.John (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Sergiu Klainerman, Igor Rodnianski (2002)
Journées équations aux dérivées partielles
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We review recent results concerning the study of rough solutions to the initial value problem for the Einstein vacuum equations expressed relative to wave coordinates. We develop new analytic methods based on Strichartz type inequalities which results in a gain of half a derivative relative to the classical result. Our methods blend paradifferential techniques with a geometric approach to the derivation of decay estimates. The latter allows us to take full advantage of the specific structure...
Oana Ivanovici (2010)
Journées Équations aux dérivées partielles
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In this note we consider a strictly convex domain of dimension with smooth boundary and we describe the dispersive and Strichartz estimates for the wave equation with the Dirichlet boundary condition. We obtain counterexamples to the optimal Strichartz estimates of the flat case; we also discuss the some results concerning the dispersive estimates.
Adrian Constantin (2001)
Journées équations aux dérivées partielles
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We describe some recent results on a specific nonlinear hydrodynamical problem where the geometric approach gives insight into a variety of aspects.
Angulo Pava, Jaime (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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