Asymptotic behavior of small solutions of the Benjamin–Ono equation with time-dependent coefficients

• Autorzy: Mammeri Y.

Identyfikatory

DOI

10.1515/jaa-2015-0002

• Języki publikacji: EN

Abstrakty

EN

We study the behavior of small solutions depending on time of the generalized and regularized Benjamin–Ono equation in both continuous and periodic context. In particular, we prove that these solutions remain small for a time scale improving the natural time given by the localwell-posedness. In the continuous case, the result becomes global-in-time.

Słowa kluczowe

EN

Benjamin–Ono equation; dispersion; normal form

PL

równanie Benjamina-Ono; dyspersja; postać normalna

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2015
• Tom: Vol. 21, nr 1
• Strony: 9--23
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Mammeri Y.

• Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, CNRS UMR 7352, Université de Picardie Jules Verne, 80069 Amiens, France

Bibliografia

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