Boundary Properties of Solutions to Second-Order Parabolic Equations in Domains with Special Symmetry |
| |
Authors: | Mamedov I T |
| |
Institution: | (1) Institute of Mathematics and Mechanics, Academy of Sciences of Azerbaijan, Baku |
| |
Abstract: | We consider the first boundary-value problem for second-order nondivergent parabolic equations with, in general, discontinuous coefficients. We study the regularity of a boundary point assuming that in a neighborhood of this point the boundary of the domain is a surface of revolution. We prove a necessary and sufficient regularity condition in terms of parabolic capacities; for the heat equation this condition coincides with Wiener's criterion. |
| |
Keywords: | second-order parabolic equation regularity condition parabolic capacity heat equation Wiener's regularity criterion |
本文献已被 SpringerLink 等数据库收录! |