Existence and Continuous Dependence of the Solutions of the Benjamin-Bona-Mahony-Peregrine-Burger's Equation on the Circle


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Authors

  • R. Gokilam Department of Mathematics, Periyar University, Salem, Tamil Nadu, India

Keywords:

Continuous dependence, Sobolev space, Galerkin approximation

Abstract

In this paper, we show the existence and continuous dependence of the solutions of the Benjamin-Bona-Mahony-Peregrine-Burger's(BBMPB) equation in Sobolev spaces $H^s$, for $s>\frac{3}{2}$. We employ a Galerkin approximation argument to show the existence of solutions of BBMPB equation.

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Published

15-09-2018

How to Cite

R. Gokilam. (2018). Existence and Continuous Dependence of the Solutions of the Benjamin-Bona-Mahony-Peregrine-Burger’s Equation on the Circle. International Journal of Mathematics And Its Applications, 6(3), 77–88. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/362

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Section

Research Article