THE RADIUS OF CONVERGENCE AND THE WELL-POSEDNESS OF THE PAINLEVÉ EXPANSIONS OF THE KORTEWEG-DE-VRIES EQUATION Short Title: Well Posedness of Painlevé expansions
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چکیده
In this paper we obtain explicit lower bounds for the radius of convergence of the Painlevé expansions of the Korteweg-de-Vries equation around a movable singularity manifold S in terms of the sup norms of the arbitrary functions involved. We use this estimate to prove the well-posedness of the singular Cauchy problem on S in the form of continuous dependence of the meromorphic solution on the arbitrary data. §
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تاریخ انتشار 1996