Calculus on the Sierpinski gasket II: Point singularities, eigenfunctions, and normal derivatives of the heat kernel

DOI10.1090/S0002-9947-06-04056-6zbMath1098.31004OpenAlexW1617553425MaRDI QIDQ5469955

Abby Shaw-Krauss, Robert S. Strichartz, N. Ben-Gal, Clint Young

Publication date: 29 May 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-04056-6

zbMATH Keywords

harmonic functionLaplacianSierpinski gasketmultiharmonic function

Mathematics Subject Classification ID

Fractals (28A80) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (16)

Sobolev orthogonal polynomials on the Sierpinski gasket ⋮ Calculus on the Sierpinski gasket. I: Polynomials, exponentials and power series ⋮ Orthogonal polynomials on the Sierpinski gasket ⋮ Analysis on products of fractals ⋮ Spectral operators on the Sierpinski gasket I ⋮ Some properties of the derivatives on Sierpinski gasket type fractals ⋮ Distribution theory on p.c.f. fractals ⋮ Infinitesimal resistance metrics on Sierpinski gasket type fractals ⋮ The ``hot spots conjecture for the Sierpiński gasket ⋮ Local behavior of smooth functions for the energy Laplacian on the Sierpinski gasket ⋮ Products of random matrices and derivatives on p.c.f. fractals ⋮ Smooth bumps, a Borel theorem and partitions of smooth functions on p.c.f. fractals ⋮ Higher order Laplacians on p.c.f. fractals with three boundary points and dihedral symmetry ⋮ Spectrality of Sierpinski-type self-affine measures ⋮ NUMERICAL ANALYSIS ON THE SIERPINSKI GASKET, WITH APPLICATIONS TO SCHRÖDINGER EQUATIONS, WAVE EQUATION, AND GIBBS' PHENOMENON ⋮ Solvability for differential equations on fractals

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