Classical Fundamental Solution of the Cauchy Problem for Ultraparabolic Kolmogorov-Type Equations with Two Groups of Spatial Variables of Degeneration. I
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DOI: 10.1007/s10958-020-04726-z
Abstract: We construct a classical fundamental solution of the Cauchy problem for the degenerate ultraparabolic Kolmogorov-type equation with two groups of spatial variables of degeneration. We also established exact estimates for this solution and its derivatives. read more here.
Keywords: ultraparabolic kolmogorov; cauchy problem; fundamental solution; kolmogorov type ... See more keywords
Kolmogorov-Type Inequalities for the Norms of Fractional Derivatives of Functions Defined on the Positive Half Line
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DOI: 10.1007/s11253-021-01873-7
Abstract: We obtain new Kolmogorov-type sharp inequalities estimating the norm of the Marchaud fractional derivative $$ {\left\Vert {D}_{-}^kf\right\Vert}_{\infty } $$ of a function f defined on the positive half line in terms of âfâp, 1â read more here.
Keywords: half line; defined positive; kolmogorov type; positive half ... See more keywords