The first initial-boundary value problem for parabolic equations in a cone with edges
Abstract
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.Keywords:
well-posedness, initial-boundary value problems, regularity, cone with edges
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Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.