On the smoothness of the Poisson potential for second-order parabolic systems on the plane

DOI10.1134/s0012266123120042OpenAlexW4392175619MaRDI QIDQ6203215

E. A. Baderko, K. D. Fedorov

Publication date: 27 February 2024

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

Full work available at URL: https://doi.org/10.1134/s0012266123120042

zbMATH Keywords

Poisson potentialdouble Dini conditionhomogeneous second-order parabolic system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Integral representations of solutions to PDEs (35C15) Initial value problems for second-order parabolic systems (35K45)

Cites Work

• On solution of the fundamental boundary value problems for a one- dimensional parabolic equation of second order by the method of potentials
• Uniqueness of the solution of the Cauchy problem for parabolic systems
• Su alcune proprieta dell'integrale di Poisson relativo ad una equazione parabolica di ordine 2m a coefficienti non costanti
• Poisson potential in the first initial-boundary value problem for a parabolic system in a semibounded domain on the plane
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