Hidden symmetry from supersymmetry in one-dimensional quantum mechanics.
Andrianov, Alexander A., Sokolov, Andrey V. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Andrianov, Alexander A., Sokolov, Andrey V. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Stéphane Nonnenmacher (2011)
Journées Équations aux dérivées partielles
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We investigate the spectral distribution of the damped wave equation on a compact Riemannian manifold, especially in the case of a metric of negative curvature, for which the geodesic flow is Anosov. The main application is to obtain conditions (in terms of the geodesic flow on and the damping function) for which the energy of the waves decays exponentially fast, at least for smooth enough initial data. We review various estimates for the high frequency spectrum in terms of dynamically...
J. Nourrigat (2005)
Journées Équations aux dérivées partielles
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Caliceti, Emanuela, Cannata, Francesco, Graffi, Sandro (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Bernard Helffer (2009)
Journées Équations aux dérivées partielles
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This lecture is mainly inspired by a paper of Y. Almog appearing last year at Siam J. Math. Anal. Our goal here is first to discuss in detail the simplest models which we think are enlightning for understanding the role of the pseudospectra in this question and secondly to present proofs which will have some general character and will for example apply in a more physical model, for which we have obtained recently results together with Y. Almog and X. Pan.
Raymond Brummelhuis (2001)
Journées équations aux dérivées partielles
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We discuss a recent necessary and sufficient condition for Melin's inequality for a class of systems of pseudodifferential operators.