Quasimodes and unstability for linear Schr\^odinger equation
classification
🧮 math.AP
keywords
operatorodingerschrunstabilityassociatedconsiderdeltadependence
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We consider the evolution operator exp(-it(-Delta+V)) associated with a Schr\"odinger operator on a Riemannian manifold (M,g). We are interested in the dependence of this operator on V running in L^p(M). Under a geometrical hypothetis, we show the unstability for p
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