The Laplace operator in fractal domains.

by    H. Triebel

Preprint series: 00-05, Analysis

The paper is published: Proc. Conf. 'Function spaces, differential operators and nonlinear analysis', Syöte, 1999 (ed. V. Mustonen & J.Rakosnik), 251-260, Math. Inst. Acad. Sci. Czech Republic, Prague, 2000.

MSC:
46E35 Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
35J25 Boundary value problems for second-order, elliptic equations
35P15 Estimation of eigenvalues, upper and lower bounds
28A80 Fractals, See also {58Fxx}
Keywords: Dirichlet Laplacian, fractals, distribution of eigenvalues, smoothness of eigenfunctions

Upload: 2000-03-13

Update: 2000-03-13


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