Estimates for the derivative of parabolic simple layer potential in the Dini space

DOI10.1007/s10958-016-3159-5zbMath1377.35126OpenAlexW2553207530MaRDI QIDQ509553

K. K. Martynova, M. F. Cherepova

Publication date: 17 February 2017

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

Full work available at URL: https://doi.org/10.1007/s10958-016-3159-5

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fundamental solutions to PDEs (35A08) A priori estimates in context of PDEs (35B45) Connections of harmonic functions with differential equations in higher dimensions (31B35) Second-order parabolic equations (35K10)

Related Items

Mixed problems for plane parabolic systems and boundary integral equations, Smoothness in the dini space of a single layer potential for a parabolic system in the plane

Cites Work

• Theorem on the oblique derivative for uniformly parabolic equations of the second order
• On solution of the fundamental boundary value problems for a one- dimensional parabolic equation of second order by the method of potentials
• On smoothness of thermal potentials in Dini-Hölder space
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