Computability of Solutions of the Korteweg‐de Vries Equation

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Mathematical Logic Quarterly 47 (1):93-110 (2001)
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Abstract

In this paper we study computability of the solutions of the Korteweg-de Vries equation ut + uux + uxxx = 0. This is one of the open problems posted by Pour-El and Richards [25]. Based on Bourgain's new approach to the initial value problem for the KdV equation in the periodic case, we show that the periodic solution u of the KdV equation is computable if the initial data is computable

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10.1002/1521-3870(200101)47:1

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