The first initial-boundary value problem for parabolic equations in a cone with edges

Аннотация

The initial-boundary value problem with Dirichlet boundary condition for higher order parabolic equations in a cone with edges is considered. We prove the well-posedness by the similar arguments as in [19]. Moreover, the regularity of the solution are also proven. Refs 25.

Ключевые слова:

well-posedness, initial-boundary value problems, regularity, cone with edges