Sommario
In questo lavoro viene proposto uno sviluppo della singolarità angolare per un problema al contorno ellittico singolarmente perturbato. Il problema è posto in un settore del piano. Nello svilluppo viene posta particolare attenzione al parametro della perturbazione singolare. Il risultato è usato per fornire stime puntuali alle derivate della soluzione. Queste stime evidenziano sia l'influenza dello stato limite sia quella della singolarità angolare.
Abstract
A corner singularity expansion is developed for a singularly perturbed elliptic boundary value problem. The problem is set in a sector of the plane. In the expansion, particular attention is paid to the singular perturbation parameter. The result is used to give pointwise bounds on derivatives of the solution. These bounds show the influence of both the boundary layers and the corner singularity.
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Kellogg, R.B. Corner singularities and singular perturbations. Ann. Univ. Ferrara 47, 177–206 (2001). https://doi.org/10.1007/BF02838182
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DOI: https://doi.org/10.1007/BF02838182