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Exponential stabilization without geometric control
Exponential stabilization geometric control
2010/11/12
We present examples of exponential stabilization for the damped wave equation on a compact manifold in situations where the geometric control condition is not satisfied. This follows from a dynamical ...
Some (non-)elimination results for curves in geometric structures
Some (non-)elimination results curves geometric structures
2010/11/17
Chevaley-Tarski theorem insures that the projection of a constructible set of $\C ^n$ is also a constructible set. In this note we prove that the projection of a finite boolean combination of algebra...
Geometric continuity and compatibility conditions for 4-patch surfaces
4-patch surface tangent plane continuity curvature continuity compatibility conditions
2010/11/29
When considering regularity of surfaces, it is its geometry that is of interest. Thus, the concept of geometric regularity or geometric continuity of a specific order is a relevant concept. In this pa...
The Fundamental Lemma is a somewhat obscure combinatorial identity introduced by Robert P. Langlands [L79] as an ingredient in the theory of auto-morphic representations.