Construction of the fundamental solution of a class of degenerate parabolic equations of high order

DOI10.15330/CMP.12.1.79-87zbMath1448.35012OpenAlexW3037429984MaRDI QIDQ5123200

H. P. Malyts'ka, I. V. Burtnyak

Publication date: 28 September 2020

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.12.1.79-87

zbMATH Keywords

parametrixKolmogorov's equationmodified Levy's method

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Degenerate parabolic equations (35K65) Initial value problems for higher-order parabolic equations (35K30) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Cites Work

• Про стабiлiзацiю iнтеграла Пуассона ультрапараболiчних рiвнянь
• The fundamental solution of Cauchy problem for a single equation of the diffusion equation with inertia
• Pointwise stabilization of the Poisson integral for the diffusion type equations with inertia
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