The Cauchy-Neumann Problem for Parabolic Equations in Domains With Conical Points

Explicit estimates on a mixed Neumann--Robin--Cauchy problem

“…where s = 2 * n/(2 * + n − 1). Thus, we may proceed as Section 3.1 to conclude (17), and subsequently (18). The remaining proof follows mutatis mutandis.…”

“…It is known that Dirichlet boundary conditions roughly approximate the reality. As a consequence, the study of the Cauchy problem under Neumann or Robin boundary conditions has its actuality in the works [1,4,9,16,18,24,25,29].…”

“…It is known that Dirichlet boundary conditions roughly approximate the reality. As a consequence, the study of the Cauchy problem under Neumann or Robin boundary conditions has its actuality in the works [1,4,9,16,18,24,25,29]. This work is devoted to the determination of the involved constants for the boundary value problems concerned in the presence of radiative-type conditions on the boundary, which are typical of thermodynamic models evolved from engineering practice [3,13].…”