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M. Francesco, A. Pascucci (2005)
On a class of degenerate parabolic equations of Kolmogorov typeApplied Mathematics Research Express, 2005
GP Malitska (2008)
Systems of Kolmogorov-Type EquationsUkrain. Mat. Zh., 60
H. Malyts’ka (2010)
Fundamental solution matrix of the Cauchy problem for a class of systems of Kolmogorov type equationsDifferential Equations, 46
AP Malitskaya (2010)
Fundamental Solution Matrix of the Cauchy Problem for a Class of Systems of Kolmogorov-Type EquationsDiffer. Uravn., 46
M Francesco, A Pascucci (2005)
AMRX Appl. Math. Res. Express
IV Burtnyak, GP Malitska (2012)
Fundamental Solution Matrices of a Certain Class of Degenerate Parabolic SystemsKarpatsk. Mat. Publ., 4
IM Gelfand, GE Shilov (1958)
Prostranstva osnovnykh i obobshchennykh funktsii
V. Litovchenko, E. Nastasiĭ (2012)
Degenerate parabolic systems of vector order Kolmogorov-type equationsSiberian Mathematical Journal, 53
(2008)
Systems of Kolmogorov-Type Equations, Ukrain
S. Eidelman, A. Kochubei, S. Ivasyshen (2004)
Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type
A. Kolmogoroff (1934)
Zufallige Bewegungen (Zur Theorie der Brownschen Bewegung)Annals of Mathematics, 35
G. Citti, M. Manfredini (2004)
A degenerate parabolic equation arising in image processing, 8
M Francesco, S Polidoro (2006)
Adv. Difference Equ.
(2012)
Fundamental Solution Matrices of a Certain Class of Degenerate Parabolic Systems, Karpatsk
(1958)
Prostranstva osnovnykh i obobshchennykh funktsii (Some Questions in the Theory of Differential Equations), Moscow: Gosudarstv
S. Ivasyshen, V. Litovchenko (2009)
Cauchy problem for one class of degenerate parabolic equations of Kolmogorov type with positive genusUkrainian Mathematical Journal, 61
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.
Differential Equations – Springer Journals
Published: Jan 21, 2015
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