Cauchy problem for vector-order degenerate parabolic systems of the Kolmogorov type with generalized initial data

DOI10.1134/S0012266114120040zbMath1314.35066OpenAlexW2044415964MaRDI QIDQ2345805

E. B. Vas'ko, Vladyslav A. Litovchenko

Publication date: 21 May 2015

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266114120040

zbMATH Keywords

Cauchy problemKolmogorov diffusion equationvector-order parabolic system

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic systems (35K45)

Cites Work

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• Degenerate parabolic systems of vector order Kolmogorov-type equations
• Fundamental solution matrix of the Cauchy problem for a class of systems of Kolmogorov type equations
• Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorov-type operators in non-divergence form
• Zufällige Bewegungen. (Zur Theorie der Brownschen Bewegung.)
• Analytic methods in the theory of differential and pseudo-differential equations of parabolic type
• Cauchy problem for one class of degenerate parabolic equations of Kolmogorov type with positive genus
• Systems of equations of Kolmogorov type

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