Wellposedness of bounded solutions of the non-homogeneous initial boundary value problem for the Ostrovsky-Hunter equation

2013/10/24 by Giuseppe Maria Coclite, Coclite, Giuseppe Maria, Lorenzo di Ruvo +1 · 1 citation
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Waves and Solitons #math.AP

paper · pdf · doi:10.48550/arxiv.1310.7013

arxiv created 2013/10/24 · openalex publication_date 2013/10/24 · arxiv updated 2013/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Ostrovsky-Hunter equation provides a model for small-amplitude long waves in a rotating fluid of finite depth. It is a nonlinear evolution equation. In this paper the welposed- ness of bounded solutions for a non-homogeneous initial boundary value problem associated to this equation is studied.

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