Comptes Rendus
no. 5
Partial Differential Equations/Ordinary Differential Equations
Asymptotics of instability zones of Hill operators with a two term potential
[Estimation asymptotique des intervalles d'instabilité d'opérateurs de Hill avec potentiels à deux termes.]

Présenté par : Alain Connes

Plamen Djakov1 ; Boris Mityagin2
1 Department of Mathematics, Sofia University, 1164 Sofia, Bulgaria
2 Department of Mathematics, The Ohio State University, 231, West 18th Ave, Columbus, OH 43210, USA
Comptes Rendus. Mathématique, Volume 339 (2004) no. 5, pp. 351-354.

Dans cette Note on donne une estimation asymptotique des intervalles d'instabilité d'opérateurs de Hill de la forme Ly=−y″+(acos2x+bcos4x)y, où a et b sont des réels non nuls arbitraires.

We give a sharp asymptotics of the instability zones of the Hill operator Ly=−y″+(acos2x+bcos4x)y for arbitrary real a,b≠0.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2004.06.019
Plamen Djakov 1 ; Boris Mityagin 2

1 Department of Mathematics, Sofia University, 1164 Sofia, Bulgaria
2 Department of Mathematics, The Ohio State University, 231, West 18th Ave, Columbus, OH 43210, USA 
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Plamen Djakov; Boris Mityagin. Asymptotics of instability zones of Hill operators with a two term potential. Comptes Rendus. Mathématique, Volume 339 (2004) no. 5, pp. 351-354. doi : 10.1016/j.crma.2004.06.019. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.06.019/

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