On <i>H</i> <sup>2</sup>-solutions for a Camassa-Holm type equation-Reference-Cited by-同舟云学术

On H ²-solutions for a Camassa-Holm type equation

Published:2023-01-01 Issue:1 Volume:21 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Coclite Giuseppe Maria¹,di Ruvo Lorenzo²

Affiliation:

1. Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari , Bari , Italy

2. Dipartimento di Matematica, Università di Bari , Bari , Italy

Abstract

Abstract Camassa-Holm type equations arise as models for the unidirectional propagation of shallow water waves over a flat bottom. They also describe finite length, small amplitude radial deformation waves in cylindrical compressible hyperelastic rods. Under appropriate assumption on the initial data, on the time

, and on the coefficients of such equation, we prove the well-posedness of the classical solutions for the Cauchy problem.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0577/pdf

Reference83 articles.

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