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Search: MSC category 34A30 ( Linear equations and systems, general )

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1. CMB Online first

Huang, Yanhe; Sottile, Frank; Zelenko, Igor
 Injectivity of generalized Wronski maps We study linear projections on PlÃ¼cker space whose restriction to the Grassmannian is a non-trivial branched cover. When an automorphism of the Grassmannian preserves the fibers, we show that the Grassmannian is necessarily of $m$-dimensional linear subspaces in a symplectic vector space of dimension $2m$, and the linear map is the Lagrangian involution. The Wronski map for a self-adjoint linear differential operator and pole placement map for symmetric linear systems are natural examples. Keywords:Wronski map, PlÃ¼cker embedding, curves in Lagrangian Grassmannian, self-adjoint linear differential operator, symmetric linear control system, pole placement mapCategories:14M15, 34A30, 93B55

2. CMB 2005 (vol 48 pp. 405)

Froese, Richard
 Liouville's Theorem in the Radially Symmetric Case We present a very short proof of Liouville's theorem for solutions to a non-uniformly elliptic radially symmetric equation. The proof uses the Ricatti equation satisfied by the Dirichlet to Neumann map. Categories:35B05, 34A30
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