scientific article; zbMATH DE number 2154220

zbMath1116.31003MaRDI QIDQ4664779

Alexander Teplyaev

Publication date: 8 April 2005

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

gradientLaplacianDirichlet formenergy measureharmonic coordinatesdirectional energies

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Dirichlet forms (31C25) General theory of partial differential operators (47F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Fractals (28A80) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Discrete potential theory (31C20) Research exposition (monographs, survey articles) pertaining to potential theory (31-02)

Related Items (10)

The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues: a survey of the analytic aspects ⋮ Besov class via heat semigroup on Dirichlet spaces. II: BV functions and Gaussian heat kernel estimates ⋮ Harmonic embeddings of the stretched Sierpinski gasket ⋮ Cheeger's energy on the harmonic Sierpinski gasket ⋮ Energy measures on p.c.f. self-similar sets ⋮ Dirac operators and spectral triples for some fractal sets built on curves ⋮ Measurable Riemannian geometry on the Sierpinski gasket: the Kusuoka measure and the Gaussian heat kernel estimate ⋮ Metric approximations of spectral triples on the Sierpiński gasket and other fractal curves ⋮ The Kusuoka measure and the energy Laplacian on level-\(k\) Sierpiński gaskets ⋮ Local Dirichlet forms, Hodge theory, and the Navier-Stokes equations on topologically one-dimensional fractals

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