Borel summation of adiabatic invariants

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Borel summation techniques are developed to obtain exact invariants from formal adiabatic invariants (given as divergent series in a small parameter) for a class of differential equations, under assumptions of analyticity of the coefficients; the method relies on the study of associated partial differential equations in the complex plane. The type and location of the singularities of these associated functions, important in determining exponentially small corrections to formal invariants are also briefly discussed.

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Classical Analysis and ODEs, 70H11,34M37,34M30,34E10,34E20,81Q20

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http://salesiana.dossiersoluciones.com/handle/123456789/115397

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608315
 http://arxiv.org/abs/math/0608315

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arXiv