Asymptotic expansion for a solution of an elliptic boundary-value problem in a thin cascade domain
Arsen V. Klevtsovskiy, Taras Mel’nyk · arXiv (Cornell University) · 2013
Asymptotic expansion is constructed and justified for the solution to a nonuniform Neumann boundary-value problem for the Poisson equation with the right-hand side that depends both on longitudinal and transversal variables in a thin cascade domain. Asymptotic energetic and uniform pointwise estimates for the difference between the solution of the initial problem and the solution of the corresponding limiting problem are proved.