Abstract
Nonlocal results on the existence, uniqueness, continuous dependence on the initial data, and intrinsic regularity of generalized solutions of the Cauchy problem for the Korteweg-de Vries equation and its generalizations are established.
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Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 13, pp. 56–105, 1988.
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Faminskii, A.V. Cauchy problem for the Korteweg-de Vries equation and its generalizations. J Math Sci 50, 1381–1420 (1990). https://doi.org/10.1007/BF01097030
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DOI: https://doi.org/10.1007/BF01097030