Geometry of stationary sets for the wave equation in . The case of finitely supported initial data: An announcement.

Agranovsky, Mark L.; Quinto, Eric Todd

Displaying similar documents to “Geometry of stationary sets for the wave equation in $ℝ^{n}$ . The case of finitely supported initial data: An announcement.”

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A spherical transform on Schwartz functions on the Heisenberg group associated to the action of U(p,q)

T. Godoy, L. Saal (2006)

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Let 𝓢(Hₙ) be the space of Schwartz functions on the Heisenberg group Hₙ. We define a spherical transform on 𝓢(Hₙ) associated to the action (by automorphisms) of U(p,q) on Hₙ, p + q = n. We determine its kernel and image and obtain an inversion formula analogous to the Godement-Plancherel formula.

The wave map problem. Small data critical regularity

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The paper provides a description of the wave map problem with a specific focus on the breakthrough work of T. Tao which showed that a wave map, a dynamic lorentzian analog of a harmonic map, from Minkowski space into a sphere with smooth initial data and a small critical Sobolev norm exists globally in time and remains smooth. When the dimension of the base Minkowski space is $(2 + 1)$ , the critical norm coincides with energy, the only manifestly conserved quantity in this (lagrangian) theory....

A support theorem for the complex Radon transform.

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Caustics and wave front propagations: applications to differential geometry

Shyuichi Izumiya, Masatomo Takahashi (2008)

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This is mainly a survey on the theory of caustics and wave front propagations with applications to differential geometry of hypersurfaces in Euclidean space. We give a brief review of the general theory of caustics and wave front propagations, which are well-known now. We also consider a relationship between caustics and wave front propagations which might be new. Moreover, we apply this theory to differential geometry of hypersurfaces, getting new geometric properties.

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Displaying similar documents to “Geometry of stationary sets for the wave equation in ℝ n . The case of finitely supported initial data: An announcement.”

Displaying similar documents to “Geometry of stationary sets for the wave equation in $ℝ^{n}$ . The case of finitely supported initial data: An announcement.”