On the Classical Fundamental Solutions of the Cauchy Problem for Ultraparabolic Kolmogorov-Type Equations with Two Groups of Spatial Variables

DOI10.1007/s10958-018-3830-0zbMath1399.35253OpenAlexW2802453469MaRDI QIDQ4642283

I. P. Medynskyj, Stepan Dmytrovych Ivasyshen

Publication date: 22 May 2018

Published in: Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3830-0

zbMATH Keywords

correctness of Cauchy problemestimates of derivative increments

Mathematics Subject Classification ID

Initial value problems for second-order parabolic systems (35K45) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Related Items (1)

Fundamental solutions for degenerate parabolic equations: existence, properties, and some applications

Cites Work

• On the regularity of solutions to a nonlinear ultraparabolic equation arising in mathematical finance
• Analytic methods in the theory of differential and pseudo-differential equations of parabolic type
• A continuous dependence result for ultraparabolic equations in option pricing
• Smoothness of solutions of certain singular second-order equations
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