Local well-posedness for dispersion generalized Benjamin-Ono equations

2002/10/21 by J. Colliander, Carlos E. Kenig, C. Kenig +5
Mathematics · Physics and Astronomy · #35Q53 #35Q58 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math.AP #msc:35Q53 #msc:35Q58

paper · pdf · doi:10.48550/arxiv.math/0210332

26 pages

arxiv created 2002/10/21 · openalex publication_date 2002/10/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study local well-posedness in the energy space for a family of dispersive equations that can be seen as dispersive ``interpolations'' between the KdV and the Benjamin-Ono equation.

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