Existence and Continuous Dependence of the Solutions of the Benjamin-Bona-Mahony-Peregrine-Burger's Equation on the Circle
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Keywords:
Continuous dependence, Sobolev space, Galerkin approximationAbstract
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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