Year: 2020
Author: Samer Israwi
Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 3 : pp. 261–274
Abstract
In this paper, a generalized nonlinear dissipative and dispersive equation with time and space-dependent coefficients is considered. We show that the control of the higher order term is possible by using an adequate weight function to define the energy. The existence and uniqueness of solutions are obtained via a Picard iterative method. As an application to this general Theorem, we prove the well-posedness of the Camassa-Holm type equation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v33.n3.6
Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 3 : pp. 261–274
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Cauchy problem Euler system dispersive wave equation Camassa-Holm equation.