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• W2040883224 abstract "In this paper the Cauchy problem for the Korteweg-de Vries equation , , , with initial condition is considered in nonlocal formulation. In the case of an arbitrary initial function the existence of a generalized -solution is proved, and its smoothness is studied for . A class of well-posed solutions is distinguished among the generalized solutions under consideration, and within this class theorems concerning existence, uniqueness and continuous dependence of solutions on initial conditions are proved.Bibliography: 28 titles." @default.
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• W2040883224 date "1984-02-28" @default.
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• W2040883224 title "GENERALIZED SOLUTIONS OF THE CAUCHY PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION" @default.
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• W2040883224 doi "https://doi.org/10.1070/sm1984v048n02abeh002682" @default.
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