Periodic solutions of non-linear Schrödinger equations: A para-differential approach - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2009

Periodic solutions of non-linear Schrödinger equations: A para-differential approach

Résumé

This paper is devoted to the construction of periodic solutions of non-linear Schrödinger equations on the torus, for a large set of frequencies. Usual proofs of such results rely on the use of Nash-Moser methods. Our approach avoids this, exploiting the possibility of reducing, through para-differential conjugation, the equation under study to an equivalent form for which periodic solutions may be constructed by a classical iteration scheme.
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Dates et versions

hal-00422523 , version 1 (07-10-2009)
hal-00422523 , version 2 (07-01-2010)
hal-00422523 , version 3 (14-02-2011)

Identifiants

  • HAL Id : hal-00422523 , version 1

Citer

Jean-Marc Delort. Periodic solutions of non-linear Schrödinger equations: A para-differential approach. 2009. ⟨hal-00422523v1⟩
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