The Laplace operator in fractal domains

zbMATH Open0964.46017MaRDI QIDQ2707685

Hans Triebel

Publication date: 3 April 2001

zbMATH Keywords

Hausdorff measurefractalsDirichlet Laplaciandistributions of eigenvaluessmoothness of eigenvalues

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Fractals (28A80)

Related Items (5)

A fractional analog of the Laplace operator and its ordinary property ⋮ Fractals of generalized F-Hutchinson operator ⋮ Periodic Operators in High-Contrast Media and the Integrated Density of States Function ⋮ Laplacian decomposition of vector fields on fractal surfaces ⋮ Title not available (Why is that?)

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