Corner singularities and singular perturbations
Copyright policy )Corner singularities and singular perturbations
Summary: 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.
Boundary value problems for second-order elliptic equations, Asymptotic behavior of solutions to PDEs, Analyticity in context of PDEs, Asymptotic expansions of solutions to PDEs, Singular perturbations in context of PDEs
Boundary value problems for second-order elliptic equations, Asymptotic behavior of solutions to PDEs, Analyticity in context of PDEs, Asymptotic expansions of solutions to PDEs, Singular perturbations in context of PDEs
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