A note on the non-homogeneous initial boundary problem for an Ostrovsky-Hunter type equation | Zendy

Giuseppe Maria Coclite | Zendy; Lorenzo di Ruvo | Zendy

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A note on the non-homogeneous initial boundary problem for an Ostrovsky-Hunter type equation

Author(s) -

Giuseppe Maria Coclite,

Lorenzo di Ruvo

Publication year - 2020

Publication title -

discrete and continuous dynamical systems - s

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 34

eISSN - 1937-1632

pISSN - 1937-1179

DOI - 10.3934/dcdss.2020236

Subject(s) - a priori and a posteriori , homogeneous , compact space , mathematics , boundary value problem , type (biology) , entropy (arrow of time) , mathematical analysis , a priori estimate , physics , combinatorics , thermodynamics , ecology , philosophy , epistemology , biology

We consider an Ostrovsky-Hunter type equation, which also includes the short pulse equation, or the Kozlov-Sazonov equation. We prove the well-posedness of the entropy solution for the non-homogeneous initial boundary value problem. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method.

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