Uniform asymptotic formulae for Green's kernels in regularly and singularly perturbed domains

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dc.creatorMaz'ya, Vladimir
dc.creatorMovchan, Alexander B.
dc.date2006-01-31
dc.date2006-06-27
dc.date.accessioned2026-07-07T06:59:31Z
dc.date.available2026-07-07T06:59:31Z
dc.descriptionAsymptotic formulae for Green's kernels $G_ε({\bf x}, {\bf y})$ of various boundary value problems for the Laplace operator are obtained in regularly perturbed domains and certain domains with small singular perturbations of the boundary, as $ε\to 0$. The main new feature of these asymptotic formulae is their uniformity with respect to the independent variables ${\bf x}$ and ${\bf y}$.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0601753
dc.identifierhttp://arxiv.org/abs/math/0601753
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107774
dc.subjectAnalysis of PDEs
dc.subject35J05; 35J25
dc.titleUniform asymptotic formulae for Green's kernels in regularly and singularly perturbed domains
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