Search results for "Finsler Laplacian"

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Gradient estimates for the perfect conductivity problem in anisotropic media

2018

Abstract We study the perfect conductivity problem when two perfectly conducting inclusions are closely located to each other in an anisotropic background medium. We establish optimal upper and lower gradient bounds for the solution in any dimension which characterize the singular behavior of the electric field as the distance between the inclusions goes to zero.

Finsler LaplacianApplied MathematicsGeneral Mathematics010102 general mathematicsMathematical analysisZero (complex analysis)Perfect conductorGradient blow-upConductivity01 natural sciences010101 applied mathematicsMathematics - Analysis of PDEsDimension (vector space)Settore MAT/05 - Analisi MatematicaElectric fieldSingular behaviorFOS: MathematicsMathematics (all)Primary: 35J25 35B44 35B50 Secondary: 35J62 78A48 58J600101 mathematicsPerfect conductorAnisotropyAnalysis of PDEs (math.AP)MathematicsJournal de Mathématiques Pures et Appliquées
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