Abstract
For a certain class of vector-order degenerate parabolic systems of Kolmogorov equations, we prove the well-posed solvability of the Cauchy problem with generalized initial data like Gelfand-Shilov distributions.
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Original Russian Text © V.A. Litovchenko, E.B. Vas’ko, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 12, pp. 1598–1606.
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Litovchenko, V.A., Vas’ko, E.B. Cauchy problem for vector-order degenerate parabolic systems of the Kolmogorov type with generalized initial data. Diff Equat 50, 1600–1608 (2014). https://doi.org/10.1134/S0012266114120040
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DOI: https://doi.org/10.1134/S0012266114120040